How do you solve $y=2x-3$ and $y=-3x+2$ using substitution?

Question

10048 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-18T17:11:07

The solution for the system of equations is:

$color(green)(x =1$
$color(green)(y = - 1$

$color(blue)(y = 2x - 3$ ............equation $(1)$

$y = -3x + 2$ ......equation $(2)$

Solving by substitution.

Substituting equation $1$ in equation $2$ :

$y = -3x + 2$

$color(blue)( 2x - 3)= -3x + 2$

$2x + 3x= 2 + 3$

$5x= 5$

$x = 5/5$

$color(green)(x =1$

Finding the value of $y$ from equation $1:$

$y = 2x - 3$

$y = (2 * 1) - 3$

$y = 2 - 3$

$color(green)(y = - 1$

How do you solve y=2x-3y=2x-3 and y=-3x+2y=-3x+2 using substitution?