# What is the value of the x-coordinate of the solution of the system of equations 2x+7=6, y-3=x?

May 25, 2018

$x = - \frac{1}{2}$

#### Explanation:

$\text{solve } 2 x + 7 = 6$

$\text{subtract 7 from both sides}$

$2 x \cancel{+ 7} \cancel{- 7} = 6 - 7$

$2 x = - 1$

$\text{divide both sides by 2}$

$\frac{\cancel{2} x}{\cancel{2}} = \frac{- 1}{2} \Rightarrow x = - \frac{1}{2}$