How do you solve -2x + y = -1 and x + y = 5?

Mar 15, 2018

$\left(2 , 3\right)$

Explanation:

We have:

$- 2 x + y = - 1$

$x + y = 5$

We can subtract the second equation from the first:

$- 2 x + y - \left(x + y\right) = - 1 - 5$

$- 2 x + y - x - y = - 6$

$- 3 x = - 6$

$x = 2$

We can input this into equation 2:

$2 + y = 5$

$y = 3$

The answer is $\left(2 , 3\right)$