Question

This is the question: First, solve the equation for y. (5 points) Second, find the value of y for the given x-value. (5 points)
3x - 2y = -7, when x = 3

This is my answer: Is it correct?

1.
3x - 2y = -7
3x - 2y - 3x = -7 - 3x
-2y = -3x + 7
-2y/-2 = -3x + 7/2
y = -3/2x + 7/2

2.
3x - 2y = -7
3 X 3 - 2y = -7
9 - 2y = -7
9 - 2y - 9 = -7 - 9
-2y = -16
y = 8

Answer 1

Check the second one...why are you multiplying 3 with 3x?

Answer 2

Because she(my teacher) wants to know what y is and she told me that x is 3

Answer 3

In the second one, I'm not solving it as a slope equation, but as a regular "find x or y" equation

Answer 4

Technically, yes, but, I believe it was meant to be solve in a certain way. Check out my solution:

1.
3x - 2y = -7
3x - 2y - 3x = -7 - 3x
-2y = -3x - 7
-2y/-2 = 3x + 7/2
y = 3/2x + 7/2
y = (3x + 7)/2


2.
y = (3x + 7)/2
y = (3(3)+7)/2
y = (9+7)/2
y = (16)/2
y = 8

Answer 5

By the way, you also made some algebraic mistakes in the first part. I corrected them for you.

Answer 6

Ohhh thanks!