Solve the System of Equations 2x+y=8 x=5

$2 x + y = 8$ $x = 5$

Step 1

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

Replace all occurrences of $x$ in $2 x + y = 8$ with $5$ .

$2 (5) + y = 8$

$x = 5$

Simplify the left side.

Multiply $2$ by $5$ .

$10 + y = 8$

$x = 5$

$10 + y = 8$

$x = 5$

$10 + y = 8$

$x = 5$

Step 2

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

Subtract $10$ from both sides of the equation.

$y = 8 - 10$

$x = 5$

Subtract $10$ from $8$ .

$y = - 2$

$x = 5$

$y = - 2$

$x = 5$

Step 3

Solve the system of equations $y = - 2 x = 5$ .

$y = - 2 x = 5$

Step 4

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

$(5, - 2)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(5, - 2)$

Equation Form:

$x = 5, y = - 2$

Step 6