Question

How do you solve the system of equations `4x-3y = 11` and `3x-5y=-11`?

Answer 1

`x=8` and `y=7`

Explanation:

`3*(4x-3y)-4*(3x-5y)=3*11-4*(-11)`

`12x-9y-12x+20y=33+44`

`11y=77`, so `y=7`

Hence,

`3x-5*7=-11`

`3x-35=-11`

`3x=24`, thus `x=8`