Question

How do you solve `4x-3y=14` and `y=-3x+4`?

Answer 1

The solution for the system of equations is
`color(blue)(x=2,y=-2`

Explanation:

`4x−3y=14`.....equation `(1)`
`y=color(blue)(−3x+4`.....equation `(2)`

Solving by substitution

Substituting equation `2` in equation `1`

`4x−3 * (color(blue)(−3x+4))=14`

`4x +9x -12=14`

`13x =14 +12`

`13x =26`

`color(blue)(x=2`

Finding `y` by substituting `x` in equation `1`

`4x−3y=14`

`4 * 2−3y=14`

`8−3y=14`

`8-14 =3y`

`3y = -6`

`color(blue)(y=-2`