Solve by Substitution y=x+4 x-y=1

$y = x + 4$ $x - y = 1$

Step 1

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

Replace all occurrences of $y$ in $x - y = 1$ with $x + 4$ .

$x - (x + 4) = 1$

$y = x + 4$

Simplify the left side.

Simplify $x - (x + 4)$ .

Simplify each term.

Apply the distributive property.

$x - x - 1 \cdot 4 = 1$

$y = x + 4$

Multiply $- 1$ by $4$ .

$x - x - 4 = 1$

$y = x + 4$

$x - x - 4 = 1$

$y = x + 4$

Simplify by adding terms.

Subtract $x$ from $x$ .

$0 - 4 = 1$

$y = x + 4$

Subtract $4$ from $0$ .

$- 4 = 1$

$y = x + 4$

$- 4 = 1$

$y = x + 4$

$- 4 = 1$

$y = x + 4$

$- 4 = 1$

$y = x + 4$

$- 4 = 1$

$y = x + 4$

Step 2

Since $- 4 = 1$ is not true, there is no solution.

No solution

Step 3

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