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

Dec 29, 2015

Via substitution

#### Explanation:

If $y = - x + 2$ & $y = 3 x - 2$

Then,

$y = y$ $\to$ $- x + 2 = 3 x - 2$

Group all the $x$ terms,

$2 = 4 x - 2$ $\to$ $4 = 4 x$

Then divide by 4 to find $x$,

$x = 1$

Now, substitute 1 into the original equations and see if it is true.