# How do you solve the system of equations: 2x-y=6, 4x-2y=-3 ?

May 6, 2016

These simultaneous equations have no solution.

#### Explanation:

If you multiply both sides of the first equation by $2$ then you get:

$4 x - 2 y = 12$

The second equation gives us:

$4 x - 2 y = - 3$

SInce $12 \ne - 3$ these two equations cannot be satisfied simultaneously.

The graphs of these two equations are a pair of parallel lines and do not intersect:

graph{(4x-2y-12)(4x-2y+3) = 0 [-10, 10, -5, 5]}