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

Aug 4, 2015

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

Explanation:

4x−3y=14.....equation $\left(1\right)$
 y=color(blue)(−3x+4.....equation $\left(2\right)$

Solving by substitution

Substituting equation $2$ in equation $1$

4x−3 * (color(blue)(−3x+4))=14

$4 x + 9 x - 12 = 14$

$13 x = 14 + 12$

$13 x = 26$

color(blue)(x=2

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

4x−3y=14

4 * 2−3y=14

8−3y=14

$8 - 14 = 3 y$

$3 y = - 6$

color(blue)(y=-2