Solve the System of Equations y=2x+54 y=8x

$y = 2 x + 54$ $y = 8 x$

Eliminate the equal sides of each equation and combine.

$2 x + 54 = 8 x$

Solve $2 x + 54 = 8 x$ for $x$ .

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

Subtract $8 x$ from both sides of the equation.

$2 x + 54 - 8 x = 0$

Subtract $8 x$ from $2 x$ .

$- 6 x + 54 = 0$

Subtract $54$ from both sides of the equation.

$- 6 x = - 54$

Divide each term in $- 6 x = - 54$ by $- 6$ and simplify.

Divide each term in $- 6 x = - 54$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 54}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 54}{- 6}$

Divide $x$ by $1$ .

$x = \frac{- 54}{- 6}$

Simplify the right side.

Divide $- 54$ by $- 6$ .

$x = 9$

Evaluate $y$ when $x = 9$ .

Substitute $9$ for $x$ .

$y = 8 (9)$

Multiply $8$ by $9$ .

$y = 72$

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

$(9, 72)$

The result can be shown in multiple forms.

Point Form:

$(9, 72)$

Equation Form:

$x = 9, y = 72$