Solve the System of Equations y=x+3 y=x-1

$y = x + 3$ $y = x - 1$

Eliminate the equal sides of each equation and combine.

$x + 3 = x - 1$

Solve $x + 3 = x - 1$ for $x$ .

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

Subtract $x$ from both sides of the equation.

$x + 3 - x = - 1$

Combine the opposite terms in $x + 3 - x$ .

Subtract $x$ from $x$ .

$0 + 3 = - 1$

Add $0$ and $3$ .

$3 = - 1$

Since $3 \neq - 1$ , there are no solutions.

No solution