Solve the System of Equations x-y=1 y=5

$x - y = 1$ $y = 5$

Step 1

Replace all occurrences of $y$ with $5$ in each equation.

Replace all occurrences of $y$ in $x - y = 1$ with $5$ .

$x - (5) = 1$

$y = 5$

Simplify the left side.

Multiply $- 1$ by $5$ .

$x - 5 = 1$

$y = 5$

$x - 5 = 1$

$y = 5$

$x - 5 = 1$

$y = 5$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $5$ to both sides of the equation.

$x = 1 + 5$

$y = 5$

Add $1$ and $5$ .

$x = 6$

$y = 5$

$x = 6$

$y = 5$

Step 3

Solve the system of equations $x = 6 y = 5$ .

$x = 6 y = 5$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(6, 5)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(6, 5)$

Equation Form:

$x = 6, y = 5$

Step 6