# How do you solve 4x-y=6 and  2x-y/2=4?

There is no solution because, they are inconsistent equations

#### Explanation:

From the given equations

$4 x - y = 6 \text{ }$first equation
$2 x - \frac{y}{2} = 4 \text{ }$second equation

The first and second equations are equations of parallel lines so they will not intersect. Therefore they do not have a solution.

By transforming the equations to slope-intercept form $y = m x + b$
$y = 4 x - 6 \text{ }$first equation
$y = 4 x - 8 \text{ }$second equation

They have the same slope $m = 4$ and they are parallel lines.

God bless...I hope the explanation is useful.