Solve by Addition/Elimination y=6x-1 y=6x+1

$y = 6 x - 1$ $y = 6 x + 1$

Step 1

Move all terms containing variables to the left side of the equation.

Subtract $6 x$ from both sides of the equation.

$y - 6 x = - 1$

$y = 6 x + 1$

Reorder $y$ and $- 6 x$ .

$- 6 x + y = - 1$

$y = 6 x + 1$

$- 6 x + y = - 1$

$y = 6 x + 1$

Step 2

Move all terms containing variables to the left side of the equation.

Subtract $6 x$ from both sides of the equation.

$y - 6 x = 1$

$- 6 x + y = - 1$

Reorder $y$ and $- 6 x$ .

$- 6 x + y = 1$

$- 6 x + y = - 1$

$- 6 x + y = 1$

$- 6 x + y = - 1$

Step 3

Multiply each equation by the value that makes the coefficients of $y$ opposite.

$- 6 x + y = - 1$

$(- 1) \cdot (- 6 x + y) = (- 1) (1)$

Step 4

Simplify.

Simplify the left side.

Simplify $(- 1) \cdot (- 6 x + y)$ .

Apply the distributive property.

$- 6 x + y = - 1$

$- 1 (- 6 x) - 1 y = (- 1) (1)$

Simplify the expression.

Multiply $- 6$ by $- 1$ .

$- 6 x + y = - 1$

$6 x - 1 y = (- 1) (1)$

Rewrite $- 1 y$ as $- y$ .

$- 6 x + y = - 1$

$6 x - y = (- 1) (1)$

$- 6 x + y = - 1$

$6 x - y = (- 1) (1)$

$- 6 x + y = - 1$

$6 x - y = (- 1) (1)$

$- 6 x + y = - 1$

$6 x - y = (- 1) (1)$

Simplify the right side.

Multiply $- 1$ by $1$ .

$- 6 x + y = - 1$

$6 x - y = - 1$

$- 6 x + y = - 1$

$6 x - y = - 1$

$- 6 x + y = - 1$

$6 x - y = - 1$

Step 5

Add the two equations together to eliminate $y$ from the system.

	$-$	$6$	$x$	$+$	$y$	$=$	$-$	$1$
$+$		$6$	$x$	$-$	$y$	$=$	$-$	$1$
					$0$	$=$	$-$	$2$

Step 6

Since $0 \neq - 2$ , there are no solutions.

No solution

Step 7

Solve by Addition/Elimination y=6x-1 y=6x+1

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