Solve by Substitution y=8x y=4x+8

$y = 8 x$ $y = 4 x + 8$

Step 1

Eliminate the equal sides of each equation and combine.

$8 x = 4 x + 8$

Step 2

Solve $8 x = 4 x + 8$ for $x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $4 x$ from both sides of the equation.

$8 x - 4 x = 8$

Subtract $4 x$ from $8 x$ .

$4 x = 8$

Divide each term in $4 x = 8$ by $4$ and simplify.

Divide each term in $4 x = 8$ by $4$ .

$\frac{4 x}{4} = \frac{8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{8}{4}$

Divide $x$ by $1$ .

$x = \frac{8}{4}$

Simplify the right side.

Divide $8$ by $4$ .

$x = 2$

Step 3

Evaluate $y$ when $x = 2$ .

Substitute $2$ for $x$ .

$y = 4 (2) + 8$

Simplify $4 (2) + 8$ .

Multiply $4$ by $2$ .

$y = 8 + 8$

Add $8$ and $8$ .

$y = 16$

Step 4

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

$(2, 16)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(2, 16)$

Equation Form:

$x = 2, y = 16$

Step 6