# How do you solve the system of equations and state the answer as an ordered pair, y= 1/2x + 1 and y= -2x + 6?

Jun 25, 2015

I found:
$x = 2$
$y = 2$

#### Explanation:

You can take the first equation and substitute it for $y$ into the second to get:
$\frac{1}{2} x + 1 = - 2 x + 6$
Now you solve for $x$. Rearranging:
$x + 2 = - 4 x + 12$
collect $x$ on one side:
$5 x = 10$
$x = \frac{10}{5} = 2$
Substitute back into the first equation:
$y = \frac{1}{2} \cdot 2 + 1 = 2$