Question 172830
I will do (A) only.

Follow my steps and do the rest.

QUESTION (A) 

x = -2y.......Equation A
3x - 2y = 8...Equation B

Notice how conveniently Equation A already gives us the fact that x = -2y.

Replace x in Equation B with -2y to find the value of y.

3(-2y) - 2y = 8

-6y - 2y = 8

-8y = 8

y = 8/-8

y = -1

I just found the value of y to be -1.

To find the value of x, replace y in EITHER EQUATION (your choice) with -1 and simplify.

I will use Equation A because it is easier to play with.

x = -2y...Equation A

x = -2(-1)

x = 2

The solution for this system of linear equations is the point (2, -1).

What does that point really mean anyway?

The point (2, -1) is the location on the xy-plane where the two given lines meet or cross each other.

Understand?