Question

How do you solve the following linear system: `5x-3y=-14 , x+3y=2`?

Answer 1

x=-2
y=4/3

Explanation:

`5*x -3*y = -14` Equation 1
`x+3*y=2` Equation 2

Add equation 1 and equation 2 to eliminate y
`5*x-3*y+(x+3*y)=-14+2`
`6*x=-12`
`x=-2`
`x+3*y=2`
`3*y=2-x=2-(-2)=4`
`y=4/3`