# How do you use the substitution method to solve y=6x+5, 6x-y=7?

Jan 5, 2017

This system has no solutions. See explanation.

#### Explanation:

The variable $y$ is calculated in the first equation, so we can substitute it to the second:

$6 x - \left(6 x + 5\right) = 7$

$6 x - 6 x - 5 = 7$

$- 5 = 7$

This equation is false, so the starting system has no solutions.