Find the solution to the system of equations below and write your answer as an ordered pair.

y=2x-2

y=3x-7

Answers

Answer 1

Answer:

y=2x-2

Slope = 4.000/2.000 = 2.000

x-intercept = 2/2 = 1

y-intercept = -2/1 = -2.00000

y=3x-7

Slope = 6.000/2.000 = 3.000

x-intercept = 7/3 = 2.33333

y-intercept = -7/1 = -7.00000

If this was helpful please mark brainliest. Have a great day.

Answer 2

Answer:

(x,y)=(5,8)

y=8

x=5

Step-by-step explanation:

Method 1 ; Substitution Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=3x-7\\\\\begin{bmatrix}3x-7=2x-2\end{bmatrix}\\\\Isolate\:x \:for\:3x -7=2x-2\:\:,x=5\\\\\mathrm{For\:}y=3x-7\\\\\mathrm{Subsititute\:}x=5\\\\y=3\times\:5-7\\\\Simplify\\\\y=8\\\\y=8,\:x=5[/tex]

Method 2 : Elimination Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\y-3x=-7\\-\\\underline{y-2x=-2}\\-x=-5\\\\\begin{bmatrix}y-2x=-2\\ -x=-5\end{bmatrix}\\\\Solve\:-x=-5\:for\:x \:,x =5\\\\\mathrm{For\:}y-2x=-2\mathrm{\:plug\:in\:}x=5\\\\Solve \:y-2\times 5 =-2\:for\:y\:\: ,y =8\\\\y=8,\:x=5[/tex]

Method 3 : Gaussian's Elimination

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\\mathrm{Write\:a\:matrix\:with\:the\:coefficients\:and\:solutions}\\\\\begin{bmatrix}1&-2&¦&-2\\ 1&-3&¦&-7\end{bmatrix}\\\\Reduce \:matrix\:to\:echelon\:form\\\\\begin{bmatrix}1&0&¦&8\\ 0&1&¦&5\end{bmatrix}\\\\y=8,\:x=5[/tex]

Find The Solution To The System Of Equations Below And Write Your Answer As An Ordered Pair. Y=2x-2y=3x-7

Related Questions


Select the correct answer.
Which expression is equivalent to this polynomial expression?
(5xy^2 + 3x^2–7) + (3x^2y^2 – xy^2 + 3y^2 + 4)

Answers

Answer:

Option B

Step-by-step explanation:

[tex](5xy^2 + 3x^2-7) + (3x^2y^2-xy^2 + 3y^2 + 4)\\[/tex]

if we solve this lets rewrite it order

[tex]3x^2y^2-xy^2 + 3y^2 + 4+5xy^2+3x^2-7[/tex]

[tex]3x^2y^2-xy^2 +5xy^2+3y^2+3x^2-7+4[/tex]

[tex]3x^2y^2+4xy^2+3y^2+3x^2-4[/tex]

The solution of the given polynomial is 3x²y² + 4xy² +3x² +3y² +3x²y² -3. The correct option is B.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the expression is (5xy² + 3x²–7) + (3x²y² – xy² + 3y² + 4).

The polynomial can be solved as:-

E = (5xy² + 3x²–7) + (3x²y² – xy² + 3y² + 4)

E = 3x²y² + 4xy² + 3x² + 3y² -3

Hence, the solution of the polynomial would be 3x²y² + 4xy² +3x² +3y² +3x²y² -3.

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Write the equation of the line with the given point and slope.

(-5, -3); slope = -3/5

Answers

point-slope equation - y+3= -3/5( x+5)

slope-intercept form- y= -3/5x +b

1 hundred is how many times greater than 1 thousand

Answers

Answer: 10

Step-by-step explanation:

Will give brainliest
ERROR analysis
Describe and correct the error in finding the product
Please help :(

Answers

Step-by-step explanation:

they combined two terms that weren't alike

What are the coordinates of the image ?
R x-axis(-5,3) please help meeee

Answers

Answer:

(-5,-3)

Step-by-step explanation:

1/2(9x-8)=10x+20+2x please help I will give brainiest for all three (10 points)​

Answers

Answer:

1. - 16/5 or -3.200

2. No solution.

3. No solution

Step-by-step explanation:

Could I have brainiest please

Answer: X=-2

Step-by-step explanation:

I big brain now give brainliest

A 132-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece

Answers

Here are the two pieces:

x and 3x

Here is the needed equation:

x + 3x = 132

4x = 132

x = 132/4

x = 33

The two pieces are 33 inches and 99 inches.

The length of the shorter piece is 33 inches.

132 inches of the board is cut into 2 pieces. The board is divided into 2 parts.

One piece is three times the length of the other. Therefore,

let

one piece = x

The other piece = 3x

The length(x) of the shorter part  can be found below

x + 3x = 132

4x = 132

divide both sides by 4

x = 132 / 4

x = 33

The length of the shorter piece is 33 inches.

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Hurry!!! What is the value of x in the equation below?
-3-(-5)-(-2)= x
0 -13
0 -9
3
0 7

Answers

Answer:

-13

Step-by-step explanation:

Solving as it is given:

-3-(-5)-(-2)= x-3 + 5 + 2 = x-3 + 7 = x7 - 3 = x4 = xx = 4

As given, the answer is 4 which doesn't match any of the options

Assumed there is typo and question is:

-3-(-5)·(-2)= x-3 - (5)(2) = x-3 - 10 = x-13 = xx = -13

The the answer is option A

A group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.

Answers

Answer:

No table shown.

Step-by-step explanation:

Where’s the table?

Answer:

it is c

Step-by-step explanation:

1. A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form. Show your work for full credit. (How did you go from those two points to having the equation in point-slope form?)

Answers

Answer:

A line goes through the points (7, 3) and (–1, 5).

To find:

The equation of the line in point-slope form.

Solution:

The lines goes through the points (7, 3) and (–1, 5). So, slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-3}{-1-7}[/tex]

[tex]m=\dfrac{2}{-8}[/tex]

[tex]m=-\dfrac{1}{4}[/tex]

So, slope of the line is [tex]m=-\dfrac{1}{4}[/tex].

Now,

Point slope  form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope and [tex](x_1,y_1)[/tex] is any point on the line.

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (7, 3), then point slope form of line is

[tex]y-3=-\dfrac{1}{4}(x-7)[/tex]

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (-1, 5), then point slope form of line is

[tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex]

Therefore, the required equations are either [tex]y-3=-\dfrac{1}{4}(x-7)[/tex] or  [tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex].

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.

1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
4. Divide:
= x

Answers

Answer:

6x and 24

Step-by-step explanation:

Answer:

6x and 24

Step-by-step explanation:

just trust the guy above me

what is the value of 8 -4/3​

Answers

Answer:

The answer is [tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?

Answers

Answer:

16.05 centimeters each bracelets

Step-by-step explanation:

-2x + 8x - 6 = 12
Solve

Answers

Answer:

hi…

Step-by-step explanation:

i think so

[tex] - 2x + 8x - 6 = 12 \\ 6x - 6 = 12 \\ 6x = 12 + 6 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]

Jen enjoys going to the local gym. She paid a $15 enrollment fee to join and also pays a monthly fee. She has been going to the gym for 6 months and has spent a total of $87. How much does jen pay each month

Answers

Answer:

12$

Step-by-step explanation:

It says she paid a fee of 15, since total for six months is 87 it means the fee is included. So basically taking out the fee she paid a total of 72.

NOW you can divide by 6. which will give you 12 dollars per month.

This can trick people because they dont subtract the fee and think they can just divide by 6.

What are the zeros of y=(x+2)(x-3)^2
And what is the step by step process on how to find it

Answers

Answer:

The zeros are -2 and 3

Step-by-step explanation:

Set each equation equal to zero

so...

x + 2 = 0

x - 3 = 0

and solve for x

if you don't know how to solve for x...

x + 2 = 0      try to single out x by moving the 2 to the other side

x = -2           the sign changes because it moves to the other side of the equal sign.

There you have it: -2 and 3

wut are the steps to solve this right ? 6x + 12 < 3x + 6

Answers

Answer:

x<−2

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x+12<3x+6

Step 1: Subtract 3x from both sides.

6x+12−3x<3x+6−3x

3x+12<6

Step 2: Subtract 12 from both sides.

3x+12−12<6−12

3x<−6

Step 3: Divide both sides by 3.

3x/3<−6/3

x<−2

Hope this helps :)

pls explain I need help​

Answers

Lines are lined up linear

someone please help i’m struggling atm

Answers

Answer:m<DEG=62 degrees

Step-by-step explanation:

Since we know that EF bisects the angle DEG, we know that m<DEF and m<FEG have to be equal. Bisects means split in half. So, we gotta add 31 degrees plus 31 which adds up to 62.

Help me please Idk what I’m doing

Answers

Answer:

REFLECTION OVER THE X-AXIS!!!!!

Step-by-step explanation:

When you flip the triangle over the x-axis, you get triangle W'X'Y'

a NEED HELP WORTH 53 POINTS

Answers

where is the picture or question?

Answer:

can you please add a picture so i can compleat the problem

Step-by-step explanation:

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
2x+y=1 Answer:

Answers

It will be 2x is the slope and y is 1

Which expression is equivalent to -36 minus 8?

Answers

Answer:

The answer is

-36-8= - 44

A school has a virus going around, and 8/25 of the students are absent due to the virus. An additional 20 students are out due to other reasons. If the school normally has 775 students, how many students are absent?

Answers

Answer:

268 students are absent

Step-by-step explanation:

First, multiply 775 by (8/25) to get the number of students out from the virus (probably weren't wearing masks or 6 ft apart from each other). This gives you 248 students. You also know that an additional 20 students are out due to other reasons. Add 248 and 20 and you get a total of 268 absent students.

someone help this is easy but i don't know how to do it still

Complete the remainder of the table for the given function rule​

Answers

Answer:

slope will be 1/7 and the y intercept will be (0,7)

PLEASE HELP 15 POINTS
Determine if the converse of this conditional statement “if an object has six faces it is a cube” is true or false.

Answers

Answer:

True.

Step-by-step explanation:

The given statement: "If an object has six faces, it is a cube."

"If an object X, then Y."

Converse: "If an object is a cube, it has six faces."

"If an object Y, then X."

All cubes are similar, therefore, the converse is true.

What are the solutions to the quadratic equation (2b+3)^2=12

Answers

Answer:

b=− 3/4 =−1.333

b= 2/3=1.500

explanation

middle term, which is   -1 .  

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

       

Two real solutions:

b =(1+√289)/12=(1+17)/12= 1.500

or:

b =(1-√289)/12=(1-17)/12= -1.333

Please help!! I WILL MARK BRAINLIEST!

Answers

Step-by-step explanation:

piont M =[(3x+7)-(6x-2)]/2 =[3x+7-6x+2]/2 =[-3x+9]/2

Question 9 of 10
In the diagram below, AB is parallel to Co. What is the value of y
A. 108
B. 128
C. 82
D. 72

Answers

The required value of y is 108° for the given diagram. The correct answer would be option (A).

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

In the diagram below, AB is parallel to CD.

Here we can see that the angles y° and 72° are supplementary angles.

So y + 72 = 180°

⇒ y = 180 - 72

Apply the subtraction operation, and we get

⇒ y = 108

Thus, the required value of y is 108°.

Hence, the correct answer would be an option (A).

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A grocery store sells a bag of 4 oranges for $3.64. How much would it cost for 6
oranges?
HELP ASAP

Answers

Answer:

5.46

Step-by-step explanation:

3.64 ÷ 4 = $0.91

$0.91 x 6 = $5.46

It would cost $5.46 for 6 oranges.

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