Solve by Substitution y=-6x-7 7x+y=-3

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

Step 1

Replace all occurrences of $y$ with $- 6 x - 7$ in each equation.

Replace all occurrences of $y$ in $7 x + y = - 3$ with $- 6 x - 7$ .

$7 x - 6 x - 7 = - 3$

$y = - 6 x - 7$

Simplify the left side.

Simplify $7 x - 6 x - 7$ .

Remove parentheses.

$7 x - 6 x - 7 = - 3$

$y = - 6 x - 7$

Subtract $6 x$ from $7 x$ .

$x - 7 = - 3$

$y = - 6 x - 7$

$x - 7 = - 3$

$y = - 6 x - 7$

$x - 7 = - 3$

$y = - 6 x - 7$

$x - 7 = - 3$

$y = - 6 x - 7$

Step 2

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

Add $7$ to both sides of the equation.

$x = - 3 + 7$

$y = - 6 x - 7$

Add $- 3$ and $7$ .

$x = 4$

$y = - 6 x - 7$

$x = 4$

$y = - 6 x - 7$

Step 3

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

Replace all occurrences of $x$ in $y = - 6 x - 7$ with $4$ .

$y = - 6 \cdot 4 - 7$

$x = 4$

Simplify the right side.

Simplify $- 6 \cdot 4 - 7$ .

Multiply $- 6$ by $4$ .

$y = - 24 - 7$

$x = 4$

Subtract $7$ from $- 24$ .

$y = - 31$

$x = 4$

$y = - 31$

$x = 4$

$y = - 31$

$x = 4$

$y = - 31$

$x = 4$

Step 4

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

$(4, - 31)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(4, - 31)$

Equation Form:

$x = 4, y = - 31$

Step 6

Solve by Substitution y=-6x-7 7x+y=-3

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