What is the solution of the system? use substitution.
3x + 2y = 7
y = –3x + 11
a.(6, -3)
b.(6, -7)
, 19/2)
d.(5, -4)

Substitution is where you substitute, basically. So, substitute "y" for y.

They have given you y: -3x+11.

They have also given you an equation for you to substitute y into: 3x+2y=7.

Now, you can create the substituted problem.

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

Use distributive property.

3x + -6x + 22 = 7

Add like terms.

-3x + 22 = 7

Subtract 22 from 7.

-3x = -15

Divide.

x = 5.

Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.

I will do both to show you.

3(5) + 2y = 7

15 + 2y = 7

2y  = -8

y = -4

You would get -4 with the other equation, too.

y = -3(5) + 11

y = -15 + 11

y = -4

Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.

*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if  D wasn't so obvious when you only find x.

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