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

Aug 2, 2015

$\textcolor{red}{x = 5 , y = 12}$

#### Explanation:

One way is to use the method of elimination.

Step 1. Enter the equations.

[1] $3 x - y = 3$
[2] $- 2 x + y = 2$

[3] $x = 5$

Step 3. Substitute Equation 3 in Equation 2.

$- 2 x + y = 2$

$- 2 \left(5\right) + y = 2$

$- 10 + y = 2$

$y = 12$

Solution: $x = 5 , y = 12$

Check: Substitute the values of $x$ and $y$ in Equation 1.

$3 x - y = 3$
$3 \left(5\right) - 12 = 3$
$15 - 12 = 3$
$3 = 3$