Algebra Examples

$2 y - 4 x = 0$

Step 1

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

$2 y - 4 \cdot - 2 = 0$

Step 2

Solve the equation for $y$ .

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Step 2.1

Multiply $- 4$ by $- 2$ .

$2 y + 8 = 0$

Step 2.2

Subtract $8$ from both sides of the equation.

$2 y = - 8$

Step 2.3

Divide each term in $2 y = - 8$ by $2$ and simplify.

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Step 2.3.1

Divide each term in $2 y = - 8$ by $2$ .

$\frac{2 y}{2} = \frac{- 8}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 8}{2}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 8}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $- 8$ by $2$ .

$y = - 4$

Step 3

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

$2 y - 4 \cdot - 1 = 0$

Step 4

Solve the equation for $y$ .

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Step 4.1

Multiply $- 4$ by $- 1$ .

$2 y + 4 = 0$

Step 4.2

Subtract $4$ from both sides of the equation.

$2 y = - 4$

Step 4.3

Divide each term in $2 y = - 4$ by $2$ and simplify.

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Step 4.3.1

Divide each term in $2 y = - 4$ by $2$ .

$\frac{2 y}{2} = \frac{- 4}{2}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Cancel the common factor of $2$ .

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Step 4.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 4}{2}$

Step 4.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4}{2}$

Step 4.3.3

Simplify the right side.

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Step 4.3.3.1

Divide $- 4$ by $2$ .

$y = - 2$

Step 5

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

$2 y - 4 \cdot 0 = 0$

Step 6

Solve the equation for $y$ .

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Step 6.1

Simplify $2 y - 4 \cdot 0$ .

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Step 6.1.1

Multiply $- 4$ by $0$ .

$2 y + 0 = 0$

Step 6.1.2

Add $2 y$ and $0$ .

$2 y = 0$

Step 6.2

Divide each term in $2 y = 0$ by $2$ and simplify.

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Step 6.2.1

Divide each term in $2 y = 0$ by $2$ .

$\frac{2 y}{2} = \frac{0}{2}$

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Cancel the common factor of $2$ .

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Step 6.2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{0}{2}$

Step 6.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{0}{2}$

Step 6.2.3

Simplify the right side.

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Step 6.2.3.1

Divide $0$ by $2$ .

$y = 0$

Step 7

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

$2 y - 4 \cdot 1 = 0$

Step 8

Solve the equation for $y$ .

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Step 8.1

Multiply $- 4$ by $1$ .

$2 y - 4 = 0$

Step 8.2

Add $4$ to both sides of the equation.

$2 y = 4$

Step 8.3

Divide each term in $2 y = 4$ by $2$ and simplify.

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Step 8.3.1

Divide each term in $2 y = 4$ by $2$ .

$\frac{2 y}{2} = \frac{4}{2}$

Step 8.3.2

Simplify the left side.

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Step 8.3.2.1

Cancel the common factor of $2$ .

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Step 8.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{4}{2}$

Step 8.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4}{2}$

Step 8.3.3

Simplify the right side.

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Step 8.3.3.1

Divide $4$ by $2$ .

$y = 2$

Step 9

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

$2 y - 4 \cdot 2 = 0$

Step 10

Solve the equation for $y$ .

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Step 10.1

Multiply $- 4$ by $2$ .

$2 y - 8 = 0$

Step 10.2

Add $8$ to both sides of the equation.

$2 y = 8$

Step 10.3

Divide each term in $2 y = 8$ by $2$ and simplify.

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Step 10.3.1

Divide each term in $2 y = 8$ by $2$ .

$\frac{2 y}{2} = \frac{8}{2}$

Step 10.3.2

Simplify the left side.

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Step 10.3.2.1

Cancel the common factor of $2$ .

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Step 10.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{8}{2}$

Step 10.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{8}{2}$

Step 10.3.3

Simplify the right side.

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Step 10.3.3.1

Divide $8$ by $2$ .

$y = 4$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 4 \\ - 1 & - 2 \\ 0 & 0 \\ 1 & 2 \\ 2 & 4 \end{array}$

Step 12