Solve by Substitution x=-3y-17 and 2x+3y=-7

$x = - 3 y - 17$ and $2 x + 3 y = - 7$

Replace all occurrences of $x$ with $- 3 y - 17$ in each equation.

Replace all occurrences of $x$ in $2 x + 3 y = - 7$ with $- 3 y - 17$ .

$2 (- 3 y - 17) + 3 y = - 7$

$x = - 3 y - 17$

Simplify the left side.

Simplify $2 (- 3 y - 17) + 3 y$ .

Simplify each term.

Apply the distributive property.

$2 (- 3 y) + 2 \cdot - 17 + 3 y = - 7$

$x = - 3 y - 17$

Multiply $- 3$ by $2$ .

$- 6 y + 2 \cdot - 17 + 3 y = - 7$

$x = - 3 y - 17$

Multiply $2$ by $- 17$ .

$- 6 y - 34 + 3 y = - 7$

$x = - 3 y - 17$

$- 6 y - 34 + 3 y = - 7$

$x = - 3 y - 17$

Add $- 6 y$ and $3 y$ .

$- 3 y - 34 = - 7$

$x = - 3 y - 17$

$- 3 y - 34 = - 7$

$x = - 3 y - 17$

$- 3 y - 34 = - 7$

$x = - 3 y - 17$

$- 3 y - 34 = - 7$

$x = - 3 y - 17$

Solve for $y$ in $- 3 y - 34 = - 7$ .

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

Add $34$ to both sides of the equation.

$- 3 y = - 7 + 34$

$x = - 3 y - 17$

Add $- 7$ and $34$ .

$- 3 y = 27$

$x = - 3 y - 17$

$- 3 y = 27$

$x = - 3 y - 17$

Divide each term in $- 3 y = 27$ by $- 3$ and simplify.

Divide each term in $- 3 y = 27$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{27}{- 3}$

$x = - 3 y - 17$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{27}{- 3}$

$x = - 3 y - 17$

Divide $y$ by $1$ .

$y = \frac{27}{- 3}$

$x = - 3 y - 17$

$y = \frac{27}{- 3}$

$x = - 3 y - 17$

$y = \frac{27}{- 3}$

$x = - 3 y - 17$

Simplify the right side.

Divide $27$ by $- 3$ .

$y = - 9$

$x = - 3 y - 17$

$y = - 9$

$x = - 3 y - 17$

$y = - 9$

$x = - 3 y - 17$

$y = - 9$

$x = - 3 y - 17$

Replace all occurrences of $y$ with $- 9$ in each equation.

Replace all occurrences of $y$ in $x = - 3 y - 17$ with $- 9$ .

$x = - 3 \cdot - 9 - 17$

$y = - 9$

Simplify the right side.

Simplify $- 3 \cdot - 9 - 17$ .

Multiply $- 3$ by $- 9$ .

$x = 27 - 17$

$y = - 9$

Subtract $17$ from $27$ .

$x = 10$

$y = - 9$

$x = 10$

$y = - 9$

$x = 10$

$y = - 9$

$x = 10$

$y = - 9$

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

$(10, - 9)$

The result can be shown in multiple forms.

Point Form:

$(10, - 9)$

Equation Form:

$x = 10, y = - 9$

Solve by Substitution x=-3y-17 and 2x+3y=-7

Related Questions

Support LCMGCF.com by disabling your adblocker.