Question

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:

Answer 1

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