Linear Algebra Examples

$- x - 2 y = - 8$ , $x + 2 y + 8 = 0$

Step 1

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

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Step 1.1

Subtract $2 y$ from both sides of the equation.

$x + 8 = - 2 y$

$- x - 2 y = - 8$

Step 1.2

Subtract $8$ from both sides of the equation.

$x = - 2 y - 8$

$- x - 2 y = - 8$

$x = - 2 y - 8$

$- x - 2 y = - 8$

Step 2

Replace all occurrences of $x$ with $- 2 y - 8$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $- x - 2 y = - 8$ with $- 2 y - 8$ .

$- (- 2 y - 8) - 2 y = - 8$

$x = - 2 y - 8$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $- (- 2 y - 8) - 2 y$ .

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Step 2.2.1.1

Simplify each term.

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Step 2.2.1.1.1

Apply the distributive property.

$- (- 2 y) + 8 - 2 y = - 8$

$x = - 2 y - 8$

Step 2.2.1.1.2

Multiply $- 2$ by $- 1$ .

$2 y + 8 - 2 y = - 8$

$x = - 2 y - 8$

Step 2.2.1.1.3

Multiply $- 1$ by $- 8$ .

$2 y + 8 - 2 y = - 8$

$x = - 2 y - 8$

$2 y + 8 - 2 y = - 8$

$x = - 2 y - 8$

Step 2.2.1.2

Combine the opposite terms in $2 y + 8 - 2 y$ .

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Step 2.2.1.2.1

Subtract $2 y$ from $2 y$ .

$0 + 8 = - 8$

$x = - 2 y - 8$

Step 2.2.1.2.2

Add $0$ and $8$ .

$8 = - 8$

$x = - 2 y - 8$

$8 = - 8$

$x = - 2 y - 8$

$8 = - 8$

$x = - 2 y - 8$

$8 = - 8$

$x = - 2 y - 8$

$8 = - 8$

$x = - 2 y - 8$

Step 3

Since $8 = - 8$ is not true, there is no solution.

No solution

Step 4