Solve by Substitution x+y=5 y=7

$x + y = 5$ $y = 7$

Step 1

Replace all occurrences of $y$ with $7$ in each equation.

Replace all occurrences of $y$ in $x + y = 5$ with $7$ .

$x + 7 = 5$

$y = 7$

Simplify the left side.

Remove parentheses.

$x + 7 = 5$

$y = 7$

$x + 7 = 5$

$y = 7$

$x + 7 = 5$

$y = 7$

Step 2

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

Subtract $7$ from both sides of the equation.

$x = 5 - 7$

$y = 7$

Subtract $7$ from $5$ .

$x = - 2$

$y = 7$

$x = - 2$

$y = 7$

Step 3

Solve the system of equations $x = - 2 y = 7$ .

$x = - 2 y = 7$

Step 4

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

$(- 2, 7)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 2, 7)$

Equation Form:

$x = - 2, y = 7$

Step 6