Solve the System of Equations y=x+2 y=x+4

$y = x + 2$ $y = x + 4$

Step 1

Eliminate the equal sides of each equation and combine.

$x + 2 = x + 4$

Step 2

Solve $x + 2 = x + 4$ for $x$ .

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

Subtract $x$ from both sides of the equation.

$x + 2 - x = 4$

Combine the opposite terms in $x + 2 - x$ .

Subtract $x$ from $x$ .

$0 + 2 = 4$

Add $0$ and $2$ .

$2 = 4$

Since $2 \neq 4$ , there are no solutions.

No solution

Step 3