Solve the System of Equations x=2y-4 7x+5y=-66

$x = 2 y - 4$ $7 x + 5 y = - 66$

Replace all occurrences of $x$ with $2 y - 4$ in each equation.

Replace all occurrences of $x$ in $7 x + 5 y = - 66$ with $2 y - 4$ .

$7 (2 y - 4) + 5 y = - 66$

$x = 2 y - 4$

Simplify the left side.

Simplify $7 (2 y - 4) + 5 y$ .

Simplify each term.

Apply the distributive property.

$7 (2 y) + 7 \cdot - 4 + 5 y = - 66$

$x = 2 y - 4$

Multiply $2$ by $7$ .

$14 y + 7 \cdot - 4 + 5 y = - 66$

$x = 2 y - 4$

Multiply $7$ by $- 4$ .

$14 y - 28 + 5 y = - 66$

$x = 2 y - 4$

$14 y - 28 + 5 y = - 66$

$x = 2 y - 4$

Add $14 y$ and $5 y$ .

$19 y - 28 = - 66$

$x = 2 y - 4$

$19 y - 28 = - 66$

$x = 2 y - 4$

$19 y - 28 = - 66$

$x = 2 y - 4$

$19 y - 28 = - 66$

$x = 2 y - 4$

Solve for $y$ in $19 y - 28 = - 66$ .

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

Add $28$ to both sides of the equation.

$19 y = - 66 + 28$

$x = 2 y - 4$

Add $- 66$ and $28$ .

$19 y = - 38$

$x = 2 y - 4$

$19 y = - 38$

$x = 2 y - 4$

Divide each term in $19 y = - 38$ by $19$ and simplify.

Divide each term in $19 y = - 38$ by $19$ .

$\frac{19 y}{19} = \frac{- 38}{19}$

$x = 2 y - 4$

Simplify the left side.

Cancel the common factor of $19$ .

Cancel the common factor.

$\frac{19 y}{19} = \frac{- 38}{19}$

$x = 2 y - 4$

Divide $y$ by $1$ .

$y = \frac{- 38}{19}$

$x = 2 y - 4$

$y = \frac{- 38}{19}$

$x = 2 y - 4$

$y = \frac{- 38}{19}$

$x = 2 y - 4$

Simplify the right side.

Divide $- 38$ by $19$ .

$y = - 2$

$x = 2 y - 4$

$y = - 2$

$x = 2 y - 4$

$y = - 2$

$x = 2 y - 4$

$y = - 2$

$x = 2 y - 4$

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

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

$x = 2 (- 2) - 4$

$y = - 2$

Simplify the right side.

Simplify $2 (- 2) - 4$ .

Multiply $2$ by $- 2$ .

$x = - 4 - 4$

$y = - 2$

Subtract $4$ from $- 4$ .

$x = - 8$

$y = - 2$

$x = - 8$

$y = - 2$

$x = - 8$

$y = - 2$

$x = - 8$

$y = - 2$

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

$(- 8, - 2)$

The result can be shown in multiple forms.

Point Form:

$(- 8, - 2)$

Equation Form:

$x = - 8, y = - 2$

Solve the System of Equations x=2y-4 7x+5y=-66

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