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amandathang9211 amandathang9211
  • 31-05-2016
  • Mathematics
Answered

What is the solution of the system? Use substitution.


3x + 2y = 7

y = –3x + 11

A.

(6, -3)


B.

(6, -7)



D.

(5, -4)

C:

What is the solution of the system? Use substitution. 3x + 2y = 7 y = 3x + 11 A. (6, -3) B. (6, -7) D. (5, -4) C: class=

Verified Answer :

garydesir1
garydesir1 garydesir1
  • 31-05-2016

Hi Brainiac


3x+2y=7

y=-3x+11


We need to solve y=-3x+11 for y

Now let's start by substitute -3x+11 for y in 3x+2y=7

3x+2y=7

3x+2(-3x+11)=7

-3x+22=7

Now add -22 to both sides

-3x+22-22=7-22

-3x=-15

To find the value for x we need to divide both sides by -3

-3x/-3= -15/-3

x=5

Now we have the value for x :)

Let's find the value for y by substitute 5 for x in y=-3x+11

y=-3x+11

y=-3(5)+11

y=-4

Here you go :)

The answer is D


Good luck :0

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