Algebra Examples

$4 x - 4 y = 20$ $y = - 5$

Step 1

Subtract $4 x$ from both sides of the equation.

$- 4 y = 20 - 4 x$

$y = - 5$

Step 2

Divide each term in $- 4 y = 20 - 4 x$ by $- 4$ and simplify.

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Step 2.1

Divide each term in $- 4 y = 20 - 4 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

$y = - 5$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

$y = - 5$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

$y = - 5$

$y = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

$y = - 5$

$y = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

$y = - 5$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $20$ by $- 4$ .

$y = - 5 + \frac{- 4 x}{- 4}$

$y = - 5$

Step 2.3.1.2

Cancel the common factor of $- 4$ .

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Step 2.3.1.2.1

Cancel the common factor.

$y = - 5 + \frac{- 4 x}{- 4}$

$y = - 5$

Step 2.3.1.2.2

Divide $x$ by $1$ .

$y = - 5 + x$

$y = - 5$

$y = - 5 + x$

$y = - 5$

$y = - 5 + x$

$y = - 5$

$y = - 5 + x$

$y = - 5$

$y = - 5 + x$

$y = - 5$

Step 3

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(0, - 5)$

Step 4