Question

How do you solve the system by graphing `4x - 2y = -12` and `2x + y = -2`?

Answer 1

`x=-2`, `y=2`

Explanation:

To solve `x` and `y` in `2` or more functions, you are actually finding `x` and `y` values which satisfy all the functions.

In other words, you are finding the intersections of the functions since at intersections, the functions are having the same value for `x` and `y`

In this case, I have plotted the functions on the same plane.

The intersection point (in this case only `1`) has the coordinate (-2,2)

`:.` `x=-2`, `y=2`

graph{(4x-2y+12)(2x+y+2)=0 [-7.9, 7.9, -3.94, 3.96]}