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

$y = x + 4$ $y - 4 = x$

Step 1

Replace all occurrences of $y$ with $x + 4$ in each equation.

Replace all occurrences of $y$ in $y - 4 = x$ with $x + 4$ .

$(x + 4) - 4 = x$

$y = x + 4$

Simplify the left side.

Combine the opposite terms in $(x + 4) - 4$ .

Subtract $4$ from $4$ .

$x + 0 = x$

$y = x + 4$

Add $x$ and $0$ .

$x = x$

$y = x + 4$

$x = x$

$y = x + 4$

$x = x$

$y = x + 4$

$x = x$

$y = x + 4$

Step 2

Remove any equations from the system that are always true.

$y = x + 4$

Step 3

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