A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11 The first equation of this system is y = x + 3. The second equation of this system is y = 3x − . The solution of the system is ( , ).

Answers

Answer 1

Answer:

The first equation of this system is y =2 x + 3.

The second equation of this system is y = 3x −1 .

The solution of the system is (4,11).

Step-by-step explanation:

PLATO CORRECT

Answer 2

The solution of the system of equations are  (4, 11).

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

The first equation of this system is y = 2x + 3.

The second equation of this system is y = 3x - 1

Now,

y = 2x + 3 _____(1)

y = 3x - 1 _______(2)

(1) = (2)

2x + 3 = 3x - 1

3 + 1 = 3x - 2x

x = 4

Now,

Putting x = 4 in (1) or (2)

y = 2 x 4 + 3 = 8 + 3 =  11

y = 3 x 4 - 1 = 12 - 1 = 11

Thus,

The solutions of the system are (4, 11).

Learn more about equations here:

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Related Questions

4x + 12 – 8 = 2x + 3 + 2x

Answers

Answer:

No Solution

Step-by-step explanation:

4x + 12 – 8 = 2x + 3 + 2x

4x + 4 = 4x + 3

4x - 4x = 3 - 4

0 DOES NOT = -1

What is $ 1,000,000 x 0.3=

Answers

Answer:

300,000

Step-by-step explanation:

Answer:

$300,000

Step-by-step explanation:

go back one place

Olivia lives in a house that is 9 meters below sea level. Olivia goes to school every day, which is 5 meters above sea level how many does Olivia travel, in altitude when going from home to school?

Answers

Answer:

I wanna say the answer is 14

Step-by-step explanation:

The answer would be 14 because you are going from -9 to 5 which you just take the difference between the two numbers and the difference is 14.

Hope it helps!

what is 76+1 in math

Answers

Answer:

77

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is ✨77✨

There is your

answer

Plain and simple

Shirley got 72% on a Chemistry exam. The test was marked out of 150.

(a) How many marks did she get?

(b) How many more marks would she need to get up to 80%?

Answers

Answer:

Nhjj

Step-by-step explanation:

Step-by-step explanation:

the answer is

a)108

b)120

How fast in mph does Leah ride her bike if Leah rides her bike 1/2 mile in 3 3/4 minutes?

Answers

Answer:

20 mph

Step-by-step explanation:

please answer this is due in 20 minutes !!!

Answers

Answer:

Non-Proportional

Hope this helps!

Take care!

Answer:

i think the answer is non- proportional

Step-by-step explanation:

A. Express log 96 in terms of log 2 and log 3.

Answers

Answer:

linear equations

Step-by-step explanation:

Answer:

5log2 + log3

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

log[tex]x^{n}[/tex] ⇔ nlogx

Given

log96

Express 96 as a product of its prime factors

96 = [tex]2^{5}[/tex] × 3 , then

log96

= log([tex]2^{5}[/tex] × 3 )

= log[tex]2^{5}[/tex] + log3

= 5log2 + log3

what is 6/5 x 10 please help

Answers

Answer:

12

Step-by-step explanation:

easy peasy

Answer:

12

Step-by-step explanation:

6 x 10= 60 60/5 = 12  

The solutions to a quadratic equation or the zeros of a quadratic function are also
called the______of the quadratic function.

Answers

Answer:

Roots roots roots roots

When collecting like terms, what terms are alike in the expression seen
below?
4xy – 7x^2+ 3yx – 2y^2+ 5xyz – 8x^2y^2

(A) – 7x^2 and – 8x^2y^2

(B) – 7x2, – 2y2 and – 8x2y2

(C) 3yx and 4xy

(D) None of these are like terms

Answers

The answer is C; 3yx and 4xy

A set of data included the numbers 19, 81, 75, 42, 33 57, and 60. What number could be added to the data to cause the range to be 90?

Answers

Answer:

109

Step-by-step explanation:

81-19 is 62. if you add 109 then you could do 109-19 is 90

Can you help me ? Pls

Answers

Answer:

The value of x = 4.4 units.

Step-by-step explanation:

Given that figure A is a scale image of Figure B.

It is clear that the two sides are similar, so their corresponding angles will be congruent and corresponding sides are in proportion.

Thus, using the corresponding ratios of figure A and Figure B

[tex]\frac{x}{4}\:=\:\frac{11}{10}[/tex]

Multiply both sides by 10

[tex]\frac{x}{4}\cdot \:10=\frac{11}{10}\cdot \:10[/tex]

[tex]\frac{5x}{2}=11[/tex]

[tex]5x=22[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{22}{5}[/tex]

[tex]x=\frac{22}{5}[/tex]

[tex]x = 4.4[/tex]

Therefore, the value of x = 4.4 units.

resolve into factors (4a+b)(4a-b)​

Answers

Answer:

[tex]16 {a}^{2} - {b}^{2} [/tex]

Step-by-step explanation:

[tex](4a + b)(4a - b) \\ using \: identity \\ \:( a + b)(a - b) = {a}^{2} - {b}^{2} \\ 16 {a}^{2} - {b}^{2} [/tex]

hope my answer is correct..

What is the answer here?

Answers

Step-by-step explanation:

(4,-30) i am not 100% sure about it.

Can y’all help me on question 20 please

Answers

Answer:

D. 1/8

Step-by-step explanation:

Q20

A piece with the length of 3/4 ft divided by 6:

3/4 : 6 = 3/4* 1/6 = 3/24 = 1/8 ft

Correct option is D.

Convert the fraction into a decimal number.

1.14286...
0.875
0.8...

Answers

Answer:

do u mean decimal to a fraction

Answer:

0.875

Step-by-step explanation:

7/8 in a decimal form is 0.875

En un curso hay 11 mujeres y 13 hombres. Si se eligen dos alumnos para representarlos en el campeonato de debate, ¿cuál es la probabilidad de que ambos sean hombres?

Answers

Answer:

106.34%  

Step-by-step explanation:

hay 24 personas en total (11 mujeres+13 hombres)

la probabilidad para que uno de los alumnos es un hombre es 13/24 (porque hay 13 hombres en la clase)

Entonces, si uno hombre está elegido, quedan 12 hombres, así que, la probabilidad si es un hombre es 12/23 (porque una persona ya está elegido y quedan 23 personas)

la probabilidad es 13/24+12/23=587/552=106.34%  (Redondeado a la décima más cercana)

(lo siento mi español no es perfecto)

What are the x and y intercepts for the equation / graph 3x - 2y = 6

Answers

Answer:

X= 2

y= -3

Step-by-step explanation

Answer:

Step-by-step explanation:

x intercept

The x intercept happens when y = 0

3x - 2y = 6

y = 0

3x = 6

x = 6/3

x = 2

x intercept = 2,0

The y intercept happens when x = 0

-2y = 6

y = 6/-2

y = -3

y intercept = 0,-3

I need help with geometry

Answers

Answer:

C is 46

Step-by-step explanation:

C is equal to A

l REALLY NEED HELL PLEASE SOMEONE

Answers

Answer:

The equation for the function g is g(x) = [tex]\frac{12}{5}[/tex] x - [tex]\frac{29}{5}[/tex] ⇒ C

Step-by-step explanation:

The form of the equation of the linear function is g(x) = m x + b, where

m is the slope m is the y-intercept

The formula of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are 2 points on the line represents the function

From the given table

∵ The points (-3, -13) and (2, -1) belong to the function g(x)

x1 = -3 and y1 = -13

x2 = 2 and y2 = -1

→ Substitute them in the formula above to find m

∵ m = [tex]\frac{-1--13}{2--3}[/tex] = [tex]\frac{-1+13}{2+3}[/tex] = [tex]\frac{12}{5}[/tex]

∴ m = [tex]\frac{12}{5}[/tex]

→ Substitute in the form of the equation above

∴ g(x) = [tex]\frac{12}{5}[/tex] x + b

∵ There is only one choice that has m = [tex]\frac{12}{5}[/tex]

The equation for the function g is g(x) = [tex]\frac{12}{5}[/tex] x - [tex]\frac{29}{5}[/tex]

Choice C represents the equation of function g

Which property can be used to solve the equation?
5d=75
addition property of equality
subtraction property of equality
O multiplication property of equality
O division property of equality

Answers

Step-by-step explanation:

It is multiplication property of equality. The goal is to get d by itself so what we do here is basically a process of

[tex]5d=75\\\\5d/5=75/5\\\\d=15[/tex]

Answer:

Division property of equality...

Step-by-step explanation:

The person above me was close, and they were right about the process of getting 15, but it is not multiplication property of equality.

Proof:

1. You have to undo what has been done to find out d, the variable that we are solving for. In other words, we're simply solving for x.

2. You can't undo the multiplication by doing more multiplication.

3. Given: 5d=75, and by doing inverse operations, you flip it around to:

75 ÷ 5 = d. this is the division property of equality because we're doing the opposite of multiplication to solve for d, and we're undoing the multiplication.

4. Do the math, or use a calculator to find what 75 divided by 5 is.

5. The answer is 15, so 15 = d.

Therefore,

It is "D," division property of equality.

If you break the illustration below into four groups, four groups of stars to four
groups of smiley faces,
what would be the ratio?

Answers

Answer: B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The equation below represents the amount, y, that Kelvin earns by working at a bakery for x hours, plus a holiday bonus. y = 9x + 200 What is Kelvin's hourly rate?

Answers

Answer:

9

Step-by-step explanation:

the slope of this equation is 9. he ears $200 say for a bonus or something. but his hourly rate is 9, if he works 10 hours, he ears $90 plus that 200

HURRY. IS it SSS, SAS, AAA

Answers

Answer:

SSS I believe sorry if im wrong

Step-by-step explanation:

A submarine descends 50 m every 5 minutes.
What is the rate of change?

Answers

50/5 is 10 so the rate of change is 10

Which of the following correctly identifies the set of outputs? (4 points)
a
(-3,-1, 3, 4)
Ob
(-5, -2, -1, 4)
{(-5, 4), (-2,-1),(-1,3), (4, -3))
Od
{(4-5),(-1,-2), (3,-1), (4-3)

Answers

Answer:

the answer is c

Step-by-step explanation:

simplify 13 7/10! I REALLY NEED IT I have a F in math :c

Answers

Answer:

137/10 or 13.7

hope it helps

Sophia went to Target to buy decorations for her dinner
party. Her total was $130.92 but she had a coupon to use,
which brought her total down to $98.19. What is the
percent decrease?

Answers

Answer:

25% off coupon

Wynn ran 20 laps in 40 minutes. If she ran at a constant rate, how many minutes will it take to her to run 28 laps?

Answers

Well since 20 laps is in 40 minutes 28 laps is in 56 minutes.
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