Question

Solve each system of equation for 3y+x=3 and -2y+5x=15

Answer 1

x = 3 and y = 0

Explanation:

3y+x=3

-2y+5x=15

Isolate y in 3y + x = 3 :

`y=`
`(3-x)/(3)`

Substitute
`y = (3-x)/(3)` in -2y + 5x = 15 :

`-2 * (3-x)/(3) + 5x = 15`

Simplify the equation :

`(-6+17x)/(3) =15`

Isolate x in
`(-6 + 17x)/(3) = 15` :

Proving x = 3

Isolate y in
`y = (3-3)/(3)` :

Proving y = 0

Your solved system of equations are x being 3, and y being 0.