Question

How do you solve `2x + 5y = -18` and `3x - 5y = 23`?

Answer 1

`x=1, y=-4.`

Explanation:

We add the given eqns. to get, `(2x+5y)+(3x-5y)=-18+23`
`:. 5x=5, or, x=1.`
To get `y`, we use, `x=1` in the first eqn. & get, `2+5y=-18`, or, `5y=-20`, so that, `y=-4.`

The soln. is `x=1, y=-4.`