Algebra Examples

$- y - 10 = 6 x$ $5 x + y = - 10$

Step 1

Subtract $5 x$ from both sides of the equation.

$y = - 10 - 5 x$

$- y - 10 = 6 x$

Step 2

Replace all occurrences of $y$ with $- 10 - 5 x$ in each equation.

Tap for more steps...

Step 2.1

Replace all occurrences of $y$ in $- y - 10 = 6 x$ with $- 10 - 5 x$ .

$- (- 10 - 5 x) - 10 = 6 x$

$y = - 10 - 5 x$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Simplify $- (- 10 - 5 x) - 10$ .

Tap for more steps...

Step 2.2.1.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1.1

Apply the distributive property.

$10 - (- 5 x) - 10 = 6 x$

$y = - 10 - 5 x$

Step 2.2.1.1.2

Multiply $- 1$ by $- 10$ .

$10 - (- 5 x) - 10 = 6 x$

$y = - 10 - 5 x$

Step 2.2.1.1.3

Multiply $- 5$ by $- 1$ .

$10 + 5 x - 10 = 6 x$

$y = - 10 - 5 x$

$10 + 5 x - 10 = 6 x$

$y = - 10 - 5 x$

Step 2.2.1.2

Combine the opposite terms in $10 + 5 x - 10$ .

Tap for more steps...

Step 2.2.1.2.1

Subtract $10$ from $10$ .

$5 x + 0 = 6 x$

$y = - 10 - 5 x$

Step 2.2.1.2.2

Add $5 x$ and $0$ .

$5 x = 6 x$

$y = - 10 - 5 x$

$5 x = 6 x$

$y = - 10 - 5 x$

$5 x = 6 x$

$y = - 10 - 5 x$

$5 x = 6 x$

$y = - 10 - 5 x$

$5 x = 6 x$

$y = - 10 - 5 x$

Step 3

Solve for $x$ in $5 x = 6 x$ .

Tap for more steps...

Step 3.1

Move all terms containing $x$ to the left side of the equation.

Tap for more steps...

Step 3.1.1

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

$5 x - 6 x = 0$

$y = - 10 - 5 x$

Step 3.1.2

Subtract $6 x$ from $5 x$ .

$- x = 0$

$y = - 10 - 5 x$

$- x = 0$

$y = - 10 - 5 x$

Step 3.2

Divide each term in $- x = 0$ by $- 1$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $- x = 0$ by $- 1$ .

$\frac{- x}{- 1} = \frac{0}{- 1}$

$y = - 10 - 5 x$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{0}{- 1}$

$y = - 10 - 5 x$

Step 3.2.2.2

Divide $x$ by $1$ .

$x = \frac{0}{- 1}$

$y = - 10 - 5 x$

$x = \frac{0}{- 1}$

$y = - 10 - 5 x$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Divide $0$ by $- 1$ .

$x = 0$

$y = - 10 - 5 x$

$x = 0$

$y = - 10 - 5 x$

$x = 0$

$y = - 10 - 5 x$

$x = 0$

$y = - 10 - 5 x$

Step 4

Replace all occurrences of $x$ with $0$ in each equation.

Tap for more steps...

Step 4.1

Replace all occurrences of $x$ in $y = - 10 - 5 x$ with $0$ .

$y = - 10 - 5 \cdot 0$

$x = 0$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify $- 10 - 5 \cdot 0$ .

Tap for more steps...

Step 4.2.1.1

Multiply $- 5$ by $0$ .

$y = - 10 + 0$

$x = 0$

Step 4.2.1.2

Add $- 10$ and $0$ .

$y = - 10$

$x = 0$

$y = - 10$

$x = 0$

$y = - 10$

$x = 0$

$y = - 10$

$x = 0$

Step 5

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

$(0, - 10)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(0, - 10)$

Equation Form:

$x = 0, y = - 10$

Step 7