Algebra Examples

$y = \frac{2}{3} x - 5$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = \frac{2}{3} \cdot (- 2) - 5$

Solve the equation for $y$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $- 2$ .

$y = \frac{2}{3} \cdot - 2 - 5$

Simplify $\frac{2}{3} \cdot - 2 - 5$ .

Tap for more steps...

Simplify each term.

Tap for more steps...

Multiply $\frac{2}{3} \cdot - 2$ .

Tap for more steps...

Combine $\frac{2}{3}$ and $- 2$ .

$y = \frac{2 \cdot - 2}{3} - 5$

Multiply $2$ by $- 2$ .

$y = \frac{- 4}{3} - 5$

Move the negative in front of the fraction.

$y = - \frac{4}{3} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{4}{3} - 5 \cdot \frac{3}{3}$

Combine $- 5$ and $\frac{3}{3}$ .

$y = - \frac{4}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 4 - 5 \cdot 3}{3}$

Simplify the numerator.

Tap for more steps...

Multiply $- 5$ by $3$ .

$y = \frac{- 4 - 15}{3}$

Subtract $15$ from $- 4$ .

$y = \frac{- 19}{3}$

Move the negative in front of the fraction.

$y = - \frac{19}{3}$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = \frac{2}{3} \cdot (- 1) - 5$

Solve the equation for $y$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $- 1$ .

$y = \frac{2}{3} \cdot - 1 - 5$

Simplify $\frac{2}{3} \cdot - 1 - 5$ .

Tap for more steps...

Simplify each term.

Tap for more steps...

Multiply $\frac{2}{3} \cdot - 1$ .

Tap for more steps...

Combine $\frac{2}{3}$ and $- 1$ .

$y = \frac{2 \cdot - 1}{3} - 5$

Multiply $2$ by $- 1$ .

$y = \frac{- 2}{3} - 5$

Move the negative in front of the fraction.

$y = - \frac{2}{3} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{2}{3} - 5 \cdot \frac{3}{3}$

Combine $- 5$ and $\frac{3}{3}$ .

$y = - \frac{2}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 2 - 5 \cdot 3}{3}$

Simplify the numerator.

Tap for more steps...

Multiply $- 5$ by $3$ .

$y = \frac{- 2 - 15}{3}$

Subtract $15$ from $- 2$ .

$y = \frac{- 17}{3}$

Move the negative in front of the fraction.

$y = - \frac{17}{3}$

Substitute $0$ for $x$ and find the result for $y$ .

$y = \frac{2}{3} \cdot (0) - 5$

Solve the equation for $y$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $0$ .

$y = \frac{2}{3} \cdot 0 - 5$

Remove parentheses.

$y = \frac{2}{3} \cdot (0) - 5$

Simplify $\frac{2}{3} \cdot (0) - 5$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $0$ .

$y = 0 - 5$

Subtract $5$ from $0$ .

$y = - 5$

Substitute $1$ for $x$ and find the result for $y$ .

$y = \frac{2}{3} \cdot (1) - 5$

Solve the equation for $y$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $1$ .

$y = \frac{2}{3} \cdot 1 - 5$

Remove parentheses.

$y = \frac{2}{3} \cdot (1) - 5$

Simplify $\frac{2}{3} \cdot (1) - 5$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $1$ .

$y = \frac{2}{3} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{2}{3} - 5 \cdot \frac{3}{3}$

Combine $- 5$ and $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{2 - 5 \cdot 3}{3}$

Simplify the numerator.

Tap for more steps...

Multiply $- 5$ by $3$ .

$y = \frac{2 - 15}{3}$

Subtract $15$ from $2$ .

$y = \frac{- 13}{3}$

Move the negative in front of the fraction.

$y = - \frac{13}{3}$

Substitute $2$ for $x$ and find the result for $y$ .

$y = \frac{2}{3} \cdot (2) - 5$

Solve the equation for $y$ .

Tap for more steps...

Multiply $\frac{2}{3}$ by $2$ .

$y = \frac{2}{3} \cdot 2 - 5$

Remove parentheses.

$y = \frac{2}{3} \cdot (2) - 5$

Simplify $\frac{2}{3} \cdot (2) - 5$ .

Tap for more steps...

Multiply $\frac{2}{3} (2)$ .

Tap for more steps...

Combine $\frac{2}{3}$ and $2$ .

$y = \frac{2 \cdot 2}{3} - 5$

Multiply $2$ by $2$ .

$y = \frac{4}{3} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{4}{3} - 5 \cdot \frac{3}{3}$

Combine $- 5$ and $\frac{3}{3}$ .

$y = \frac{4}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{4 - 5 \cdot 3}{3}$

Simplify the numerator.

Tap for more steps...

Multiply $- 5$ by $3$ .

$y = \frac{4 - 15}{3}$

Subtract $15$ from $4$ .

$y = \frac{- 11}{3}$

Move the negative in front of the fraction.

$y = - \frac{11}{3}$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - \frac{19}{3} \\ - 1 & - \frac{17}{3} \\ 0 & - 5 \\ 1 & - \frac{13}{3} \\ 2 & - \frac{11}{3} \end{array}$