# How do you solve 2y = 4x + 2 and y + 3 = 2x?

Jun 16, 2017

No solution

#### Explanation:

For one of the equations, isolate a variable to one side. I chose $y + 3 = 2 x$ and isolated $y$.
$y + 3 = 2 x$
$y = 2 x - 3$

Substitute this equation for $y$ in the other equation and solve.
$2 y = 4 x + 2$
$2 \left(2 x - 3\right) = 4 x + 2$
$4 x - 6 = 4 x$
-6≠0

This equation is untrue, which means there is no solution.