Solve the System of Equations y=x-6 y=x+2

$y = x - 6$ $y = x + 2$

Step 1

Eliminate the equal sides of each equation and combine.

$x - 6 = x + 2$

Step 2

Solve $x - 6 = x + 2$ for $x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

$x - 6 - x = 2$

Combine the opposite terms in $x - 6 - x$ .

Subtract $x$ from $x$ .

$0 - 6 = 2$

Subtract $6$ from $0$ .

$- 6 = 2$

Since $- 6 \neq 2$ , there are no solutions.

No solution

Step 3