Solve the system using the elimination.

Solve The System Using The Elimination.

Answers

Answer 1

On solving the system of equation using elimination method , the value of x is 1 and value of y is 3 .

in the question ,

the two equations are given as

3x+y=6   ...(i)

and

-8x+2y= -2     ...(ii)

In elimination method, the equation is multiplied by some constant and then add/subtract the equations to eliminate any variable x or y.

multiplying equation(i) by 2 we get

6x+2y=12      ....(iii)

subtracting , the equation (ii) from equation (iii) , we get

(6x+2y) - (-8x+2y) = 12-(-2)

6x+2y+8x-2y = 12+2

14x = 14

x = 1

We eliminate 'x' from equation (ii) by replacing the value of 'x' with 1 ,

we get

-8x+2y= -2  

-8(1)+2y= -2

-8 + 2y = -2

2y = -2 + 8

2y = 6

y = 3

Therefore , On solving the system of equation using elimination method , the value of x is 1 and value of y is 3 .

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Related Questions

URGENT PLEASE HELL SOLVE FOR X . idc if you don’t show work

Answers

the first one is x = 27 and second is x = 135!

Lisa started a busines 8 years ago with an intial investment of $250,000. It is now worth 6 times that amout. How much is the company worth now?

Answers

Answer:

1,500,000 is the answer

Answer:

Step-by-step explanation:

1,500,000 million, enjoy

Select all points from the list below that lie in the solution set of the system of inequalities graphed below?


Question 3 options:

(7, 0)


(3, 0)


(0, 7)


(-3, -5)


(9, -3)


(0, -1)

Answers

The points that  lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)

In this question, we have been given a graph system of inequalities.

We need to select all points from the given list that lie in the solution set of the system of inequalities.

The solution set for given inequalities is the set of all points which satisfy inequalities.

The solution set is represented by the common region shaded between two inequalities.

From graph, we can see that the points (7, 0), (3, 0), (9, -3)  lie in the solution set of the system of inequalities graphed.

Therefore, the points that  lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)

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Fill in the missing statement and reason in the proof of the corresponding angles theorem.

Answers

It is given that AB is parallel to CD and the points E, G, H and F are collinear.

The measure of angle EGF is 180 degrees.

Now,

Angle AGE+angle AGF=180 degrees.

So, it happends using the addition property of equality.

Now, angle AGF and CHF are the same side interior angle.

Therefore, the correct option is (D)

find the following and trophs velties. Foeliconicagate axis enda ontsuchsympotes 28-12-22graph item 1

Answers

vertices: (3, 2) and (-1, 2)

foci: (1+√13, 2) and (1-√13, 2)

conjugate axis endpoints: (1, 5) and (1, -1)

asymptotes: y = 2 + 3/2(x - 1) and y = 2 - 3/2(x - 1)

Find the square of each number. (Do not add extra spaces in your response.)

1.) 7 =

2.) 21 =

3.) -3 =

4.) 45 =

5.) 2.7 =

6.) −14=

7.) -5.7 =

8.) 25=

Answers

1.) 7 = 49

2.) 21 = 441

3.) -3 = -9

4.) 45 = 2,025

5.) 2.7 = 7.29

6.) -14 = -196

7.) -5.7 = -32.49

8.) 25 = 625

Please answer with if the slope is positive or negative and what the slope is.

Answers

The slope is positive ✨️

What ordered pairs do you get when you complete the table ?

Answers

for -1:

the equation will be:

[tex]y=3(-1)-1[/tex]

and we symplyfy so:

[tex]y=-4[/tex]

So the coordinate is:

[tex](-1,-4)[/tex]

for 0:

the equation will be:

[tex]y=3(0)-1[/tex]

so we simplify:

[tex]y=-1[/tex]

so the coordinate is:

[tex](0,-1)[/tex]

and for 1:

the equation will be:

[tex]y=3(1)-1[/tex]

we simplify:

[tex]y=2[/tex]

So the coordinate will be:

[tex](1,2)[/tex]

So the answer is A)

write the equations of all the circles in the design from smallest to biggest .( please help me )

Answers

The equation of a circle is given by the formula;

(x-h)² + (y-k)² = r²

r is the radius of the circle

(h,k) is the center of the circle

Smallest circle (Red circle)

r = 1

(h,k)= (0, 7)

substitute the values into the formular

(x - 0)² + (y-7)² = 1²

x²+ (y-7)² =1

Bigger circle (Blue circle)

r= 3 h=0 K=3

substitute the values into the formula

(x -0)² + (y-3)²= 3²

x² + (y-3)² = 9

Biggest circle ( Orange Circle)

r=5 h=0 K=-5

substitute the values into the formula and evaluate

(x-0)² + (y+5)² = 5²

x² +(y+5)² = 25

|5а + 10| = |6a - 8|

i don’t understand how to do this pls help

Answers

Answer:

Step-by-step explanation:

|5a+10|=|6a-8|

5a+10=±(6a-8)

5a+10=6a-8

10+8=6a-5a

a=18

or

5a+10=-(6a-8)

5a+10=-6a+8

5a+6a=8-10

11a=-2

a=-2/11

verbal expression 19a-3b=16c

Answers

We are given the expression 19a-3b=16c and told to write a verbal expression. This verbal expression should describe what is happening in the mathematical expression. Since we are multiplying 19 and a, we can describe this part by "19 times a". Then we are subtracting 3b, so we can say "19 times a minus 3 times b". Finally, we should describe that this expression is equal to 16 multiplied by c. This is achieved with the expression

"19 times a minus 3 times b equals 16 times c"

Which of the following is the equation for a circle with a center of (−2, −3) and a radius of 7?

Answers

Okay, here we have this:

Considering the provided information, and that the form of the standard circle equation is (x-h)²+(y-k)²=r², where the centered at (h, k), and radius r, so replacing with the provided data, we obtain:

(x-h)²+(y-k)²=r²

(x-(-2))²+(y-(-3))²=(7)²

(x+2)²+(y+3)²=49

Finally we obtain that the correct answer is the first option

Consider the following pair of points.

(-3, -3) and (2, 9)


Step 1 of 2: determine the distance between the two points.


Step 2 of 2: determine the midpoint of the line segment joining the pair of points.

Answers

Answer:

.

Step-by-step explanation:

Juan and Raj cut up a banana to put on cereal. Juan puts 1/7 of the banana on his bowl of cereal, and Raj puts 2/5 of the banana on his bowl of cereal. What fraction of the banana did Juan and raj put on their cereal.

Answers

Juan and Raj put 19/35 fraction of banana on their cereal.

What is a fraction?

A number that represents a rational number is called a common fraction. A decimal, percent, or negative exponent can all be used to represent the same number. For instance, the fraction 1/100 is equivalent to the values 0.01, 1%, and 102. The implicit denominator of an integer can be conceived of as being one (for instance, 7 = 7/1). The term "set of rational numbers" in mathematics refers to the collection of all numbers that can be stated in the form a/b, where a and b are integers and b is not zero. This collection is denoted by the letter Q, which stands for quotient. When a number can be expressed in that way, it is said to be a rational number (i.e., as a common fraction).

1/7 + 2/5

= (5 + 14)/35

= 19/35

Hence, Juan and Raj put 19/35 fraction of banana on their cereal.

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I WILL GIVE BRAINLIEST
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Explain How You got the answer
y – 9 = –6(x – 3)
y + 9 = –6(x + 3)
y – 3 = –6(x – 9)
y + 3 = –6(x + 9)

Answers

Answer:

y – 9 = –6(x – 3)

y – 3 = –6(x – 9)

i think im not quit sure if this is correct but i hope this helps :)

√45 + √20 = 5√5

———————————————

Answers

Answer:

and the fact that she got to the shoe store and bought it for her if she was a kid she would have a lot of gumball toys

Step-by-step explanation:

perpendicular

Find the angle between the following pair of vectors: Around your answers to nearest tenths.p = < -8 , 1 > r = < -4 , 0 >

Answers

[tex]\begin{gathered} \cos \text{ }\phi\text{ = }\frac{u\text{ v}}{|u\mleft\Vert v\mright|} \\ |u|\text{ = }\sqrt[]{-8^2+1^2\text{ }}=\text{ }\sqrt[]{64\text{ + 1}}\text{ = }\sqrt[]{65} \\ |v|\text{ = }\sqrt[]{-4^2+0^2}\text{ = }\sqrt[]{16\text{ }}\text{ = }\sqrt[]{16} \\ \cos \text{ }\phi\text{ = }\frac{(-8\cdot-4)\text{ + (1}\cdot0)}{\sqrt[]{65\text{ }}\cdot\sqrt[]{16}} \\ \cos \text{ }\emptyset\text{ = }\frac{32\text{ 1}}{4\sqrt[]{65}} \\ \cos \text{ }\emptyset\text{ = }\frac{32}{4\sqrt[]{65}} \\ \cos \text{ }\emptyset\text{ = }0.99 \\ \emptyset\text{ = 7.1} \end{gathered}[/tex]

Angle = 7.1°

Rajesh is filing single and he has an adjusted gross income (AGI) of $84,000 for the 2018 tax year. He qualifies for the standard deduction of $12,000. Use the following 2018 Federal tax rate schedule to calculate his 2018 Federal income tax.

If your filing status is single;

Answers

Rajesh's tax in 2028 is $11,779.50 based on his adjusted gross income (AGI), standard deduction, and filling status.

How to find the tax?

First, find the taxable income:

= adjusted gross income (AGI) - standard deduction

= 84,000 - 12,000

= $72,000

This taxable income is in the $38,700 - $82,500 bracket so Rajesh's tax in 2018 would be:

= 4,453.50 + 22% of the excess over $38,700:

Solving for the tax to be paid by Rajesh in 2018 is:

= 4,453.50 + ( 22% x (72,000 - 38,700))

= $11,779.50

In conclusion, the tax that Rajesh would pay in 2018 is $11,779.50.

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Factors of 12: 1. 2. 3. 4. 6. 12 Factors of 20: 1, 2, 4, 5, 10, 20 • Which numbers are common factors of 12 and 20? Choose ALL that apply. 1 2 3 6 10 12 20

Answers

The common factors are; 1,2,4

What type of function is shown below? Y=5x
A. both proportional and non-proportional
B. non-proportional
C. neither proportional nor non-proportional
D. proportional

need Answer As Soon As Possible - ASAP

Answers

Answer D proportional
The answer is PROPORTIONAL

The cost per student of a ski trip varies inversely as the number of students who attend. It will cost each student $250 if 24 students attend. How many students would have to attend to get the cost down to $200?

Answers

ANSWER

30 students

EXPLANATION

The cost per student varies inversely as the number of students.

Inverse proportion is written as:

[tex]\begin{gathered} y\propto\frac{1}{x} \\ y=\frac{k}{x} \\ \text{where k = constant of proportionality} \end{gathered}[/tex]

Let the cost per student be y.

Let the number of students be x.

It will cost each student $250 if 24 students attend. This means that:

[tex]\begin{gathered} 250=\frac{k}{24} \\ \Rightarrow k=250\cdot24 \\ k=6000 \end{gathered}[/tex]

If the cost is down to $200, it means that y is now $200.

That is:

[tex]\begin{gathered} 200=\frac{6000}{x} \\ \Rightarrow x=\frac{6000}{200} \\ x=30\text{ students} \end{gathered}[/tex]

Therefore, 30 students could attend.

If D = t +9t2 and C = t - t - 8, find an expression that equals D - 3C in standard form?

Answers

we have

[tex]\begin{gathered} D-3C=t+9t^2-3(t-t-8)=t+9t^2-3(-8) \\ =t+9t^2+24 \end{gathered}[/tex]

in standard form

[tex]9t^2+t+24[/tex]

Find the value of x that makes m II n [please help I really don't know what to do :') ]

Answers

Angles around a point equals to 360°
360-(150x2) = 60
60/2= 30
So
(3x-15)= 30 because its a corresponding angle
3x= 30-15
3x= 15
x=15/3
x=5

calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inchsurface area 290inches^2 volume is 264in^2cost would be?

Answers

We will have that the cost of manufacturing would be:

[tex]C=(0.05)(290)\Rightarrow C=14.5[/tex]

So, the cost per box is $14.5.

help me pleasee!!




thank you

Answers

The equation of the line is  [tex]f(x) =- \frac{1}{3}x -4[/tex]

How is the equation of the line calculated?

The line passes through the following points,

[tex](x_1,y_1)=(-6, -2)\\\\(x_2,y_2)=(-9,-1)[/tex]

The slope- intercept form of the equation,

y = mx +c  ----(1)

(a)What is the slope (m) ?

    [tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-1+2}{-9+6} \\\\m= \frac{1}{-3} \\\\m= -\frac{1}{3}[/tex]

(b) What is the constant ( c) ?

Substituting  [tex](x_1,y_1)[/tex] and m in (1)

    [tex]y = mx+c\\\\-2 = -\frac{1}{3} (-6)+c\\\\-2 = +2 +c\\\\c = -4[/tex]

Substituting m and c in (1)

y = mx +c

[tex]y =- \frac{1}{3}x -4[/tex]

Using function notation, y = f(x)

The equation of the line is,

[tex]f(x) =- \frac{1}{3}x -4[/tex]

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this question is just 4 people to get their status up. <333

Answers

Answer:

ok

Step-by-step explanation:

ok.............................

Find the length of the leg of a triangle with a hypotenuse of 16 and a side of 12

Answers

c= 4√7

1) Given that we have a leg of 12 and a hypotenuse of 16 units. Let's use the Pythagorean Theorem to find the missing leg.

2) a² =b²+c²

hypotenuse² = leg² +leg²

16² =12² +c²

256= 144 + c²

256 -144 = c²

112=c²

√c²=√112

c=4√7 (approximately 10.58 units)

3) Hence, we can state that the missing leg has the size of 4√7 units

Please help me on this :)

Answers

The most appropriate choice for Arithmetic series will be given by -

Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term = [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]

What is arithmetic series?

Arithmetic series is a series where the consecutive terms of the series maintains a constant difference known as the common difference of the series.

If a be the first term of the series and d be the common difference of the series, then [tex]n^{th}[/tex] term of the series [tex]a_n[/tex] is given by

[tex]a_n = a+(n-1)d[/tex]

Here,

The sum of the first n terms of the arithmetic progression =

                                                                                        [tex]\frac{n}{2}(a_1 + a_n)[/tex]

The sum of the first m terms of the arithmetic progression =

                                                                                        [tex]\frac{m}{2}(a_1 + a_m)[/tex]

Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term =    [tex]\frac{n}{2}(a_1 + a_n)[/tex] - [tex]\frac{m}{2}(a_1 + a_m)[/tex]

                                                                 = [tex]\frac{1}{2}(na_1 + na_n-ma_1-ma_m)[/tex]

                                                                 = [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]

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A store purchased an item for $90 and planned to sell it for $162.00 so that their profitwould be 40% of their cost. If they were unable to sell it for this amount, what minimumselling price would allow them to break even?$

Answers

Given that a store purchased an item for $90.

They want a profit of 40% of their costs.

So, 40% of their costs = 40% of $90

= 40/100 * 90

= $36

Let y be the minimum selling price

So, from the question we c an say thst:

y = $(90 + 36)

y = $126

Therefore the minimum selling price of $126 would give the profit of 40% of their cost.

Determine whether the point (2,0) is a solution to the system of equations.

Answers

From the given graph of the system of equations

[tex]\begin{gathered} f(x)=|x-1|+1 \\ g(x)=3x+2 \end{gathered}[/tex]

It is the point (2,0) is not on any of the graphs of f(x) and g(x). Also,

[tex]\begin{gathered} f(2)=|2-1|+1 \\ =2 \\ \ne0 \\ g(2)=8 \\ \ne0 \end{gathered}[/tex]

Since (2,0) doesn't satisfy given equations, therefore, (2,0) is not a solution of the given system.

It can be noted that the solution of the system is (0,2) as it lies on the intersection of f(x) and g(x)

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