Question

How do you solve the system of equations `-2x + 3y = 3` and `5x - 6y = - 3`?

Answer 1

Multiply one of the equation so that you can rule out either the `x` or the `y` value, then add them up to actually let one of them vanish.

Explanation:

Multiply the first equation by `2`, then add both equations up.

This gives: `-4x=6y=6`
Adding up: `1x-0y=3`, simplified: `x=3` since `0 times y =0`