Solve by Substitution 3x-5y=17 , y=-7

$3 x - 5 y = 17$ , $y = - 7$

Step 1

Replace all occurrences of $y$ with $- 7$ in each equation.

Replace all occurrences of $y$ in $3 x - 5 y = 17$ with $- 7$ .

$3 x - 5 \cdot - 7 = 17$

$y = - 7$

Simplify the left side.

Multiply $- 5$ by $- 7$ .

$3 x + 35 = 17$

$y = - 7$

$3 x + 35 = 17$

$y = - 7$

$3 x + 35 = 17$

$y = - 7$

Step 2

Solve for $x$ in $3 x + 35 = 17$ .

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

Subtract $35$ from both sides of the equation.

$3 x = 17 - 35$

$y = - 7$

Subtract $35$ from $17$ .

$3 x = - 18$

$y = - 7$

$3 x = - 18$

$y = - 7$

Divide each term in $3 x = - 18$ by $3$ and simplify.

Divide each term in $3 x = - 18$ by $3$ .

$\frac{3 x}{3} = \frac{- 18}{3}$

$y = - 7$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 18}{3}$

$y = - 7$

Divide $x$ by $1$ .

$x = \frac{- 18}{3}$

$y = - 7$

$x = \frac{- 18}{3}$

$y = - 7$

$x = \frac{- 18}{3}$

$y = - 7$

Simplify the right side.

Divide $- 18$ by $3$ .

$x = - 6$

$y = - 7$

$x = - 6$

$y = - 7$

$x = - 6$

$y = - 7$

$x = - 6$

$y = - 7$

Step 3

Solve the system of equations $x = - 6 y = - 7$ .

$x = - 6 y = - 7$

Step 4

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

$(- 6, - 7)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 6, - 7)$

Equation Form:

$x = - 6, y = - 7$

Step 6

Solve by Substitution 3x-5y=17 , y=-7

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