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

$y = x + 5$ $y = 1$

Step 1

Eliminate the equal sides of each equation and combine.

$x + 5 = 1$

Step 2

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

Subtract $5$ from both sides of the equation.

$x = 1 - 5$

Subtract $5$ from $1$ .

$x = - 4$

Step 3

Substitute $- 4$ for $x$ .

$y = 1$

Step 4

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

$(- 4, 1)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 4, 1)$

Equation Form:

$x = - 4, y = 1$

Step 6