Solve by Substitution 6x+y=-42 x=y

$6 x + y = - 42$ $x = y$

Step 1

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

Replace all occurrences of $x$ in $6 x + y = - 42$ with $y$ .

$6 (y) + y = - 42$

$x = y$

Simplify the left side.

Add $6 y$ and $y$ .

$7 y = - 42$

$x = y$

$7 y = - 42$

$x = y$

$7 y = - 42$

$x = y$

Step 2

Divide each term in $7 y = - 42$ by $7$ and simplify.

Divide each term in $7 y = - 42$ by $7$ .

$\frac{7 y}{7} = \frac{- 42}{7}$

$x = y$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 42}{7}$

$x = y$

Divide $y$ by $1$ .

$y = \frac{- 42}{7}$

$x = y$

$y = \frac{- 42}{7}$

$x = y$

$y = \frac{- 42}{7}$

$x = y$

Simplify the right side.

Divide $- 42$ by $7$ .

$y = - 6$

$x = y$

$y = - 6$

$x = y$

$y = - 6$

$x = y$

Step 3

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

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

$x = - 6$

$y = - 6$

Simplify the left side.

Remove parentheses.

$x = - 6$

$y = - 6$

$x = - 6$

$y = - 6$

$x = - 6$

$y = - 6$

Step 4

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

$(- 6, - 6)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 6, - 6)$

Equation Form:

$x = - 6, y = - 6$

Step 6

Solve by Substitution 6x+y=-42 x=y

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