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

$y = 8 x$ $y = 2 x$

Eliminate the equal sides of each equation and combine.

$8 x = 2 x$

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

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

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

$8 x - 2 x = 0$

Subtract $2 x$ from $8 x$ .

$6 x = 0$

Divide each term in $6 x = 0$ by $6$ and simplify.

Divide each term in $6 x = 0$ by $6$ .

$\frac{6 x}{6} = \frac{0}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{0}{6}$

Divide $x$ by $1$ .

$x = \frac{0}{6}$

Simplify the right side.

Divide $0$ by $6$ .

$x = 0$

Evaluate $y$ when $x = 0$ .

Substitute $0$ for $x$ .

$y = 2 (0)$

Multiply $2$ by $0$ .

$y = 0$

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

$(0, 0)$

The result can be shown in multiple forms.

Point Form:

$(0, 0)$

Equation Form:

$x = 0, y = 0$