Solve by Substitution y=4x+6 y=2x

$y = 4 x + 6$ $y = 2 x$

Step 1

Eliminate the equal sides of each equation and combine.

$4 x + 6 = 2 x$

Step 2

Solve $4 x + 6 = 2 x$ for $x$ .

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

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

$4 x + 6 - 2 x = 0$

Subtract $2 x$ from $4 x$ .

$2 x + 6 = 0$

Subtract $6$ from both sides of the equation.

$2 x = - 6$

Divide each term in $2 x = - 6$ by $2$ and simplify.

Divide each term in $2 x = - 6$ by $2$ .

$\frac{2 x}{2} = \frac{- 6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 6}{2}$

Divide $x$ by $1$ .

$x = \frac{- 6}{2}$

Simplify the right side.

Divide $- 6$ by $2$ .

$x = - 3$

Step 3

Evaluate $y$ when $x = - 3$ .

Substitute $- 3$ for $x$ .

$y = 2 (- 3)$

Multiply $2$ by $- 3$ .

$y = - 6$

Step 4

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

$(- 3, - 6)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 3, - 6)$

Equation Form:

$x = - 3, y = - 6$

Step 6