Solve by Substitution x+2y=8 , x+3y=12

$x + 2 y = 8$ , $x + 3 y = 12$

Step 1

Subtract $2 y$ from both sides of the equation.

$x = 8 - 2 y$

$x + 3 y = 12$

Step 2

Replace all occurrences of $x$ with $8 - 2 y$ in each equation.

Replace all occurrences of $x$ in $x + 3 y = 12$ with $8 - 2 y$ .

$(8 - 2 y) + 3 y = 12$

$x = 8 - 2 y$

Simplify the left side.

Add $- 2 y$ and $3 y$ .

$8 + y = 12$

$x = 8 - 2 y$

$8 + y = 12$

$x = 8 - 2 y$

$8 + y = 12$

$x = 8 - 2 y$

Step 3

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

Subtract $8$ from both sides of the equation.

$y = 12 - 8$

$x = 8 - 2 y$

Subtract $8$ from $12$ .

$y = 4$

$x = 8 - 2 y$

$y = 4$

$x = 8 - 2 y$

Step 4

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

Replace all occurrences of $y$ in $x = 8 - 2 y$ with $4$ .

$x = 8 - 2 \cdot 4$

$y = 4$

Simplify the right side.

Simplify $8 - 2 \cdot 4$ .

Multiply $- 2$ by $4$ .

$x = 8 - 8$

$y = 4$

Subtract $8$ from $8$ .

$x = 0$

$y = 4$

$x = 0$

$y = 4$

$x = 0$

$y = 4$

$x = 0$

$y = 4$

Step 5

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

$(0, 4)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(0, 4)$

Equation Form:

$x = 0, y = 4$

Step 7

Solve by Substitution x+2y=8 , x+3y=12

Related Questions

Support LCMGCF.com by disabling your adblocker.