Algebra Examples

0.5 = 0.4 y - 0.25 x

$0.5 = 0.4 y - 0.25 x$

Step 1

Rewrite the equation as

0.4 y - 0.25 x = 0.5

$0.4 y - 0.25 x = 0.5$ .

0.4 y - 0.25 x = 0.5

$0.4 y - 0.25 x = 0.5$

Step 2

Add

0.25 x

$0.25 x$ to both sides of the equation.

0.4 y = 0.5 + 0.25 x

$0.4 y = 0.5 + 0.25 x$

Step 3

Divide each term in

0.4 y = 0.5 + 0.25 x

$0.4 y = 0.5 + 0.25 x$ by

0.4

$0.4$ and simplify.

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Step 3.1

Divide each term in

0.4 y = 0.5 + 0.25 x

$0.4 y = 0.5 + 0.25 x$ by

0.4

$0.4$ .

\frac{0.4 y}{0.4} = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}

$\frac{0.4 y}{0.4} = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

0.4

$0.4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.4 y}{0.4} = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Step 3.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide

$0.5$ by

$0.4$ .

$y = 1.25 + \frac{0.25 x}{0.4}$

Step 3.3.1.2

Factor

$0.25$ out of

$0.25 x$ .

$y = 1.25 + \frac{0.25 (x)}{0.4}$

Step 3.3.1.3

Factor

$0.4$ out of

$0.4$ .

$y = 1.25 + \frac{0.25 (x)}{0.4 (1)}$

Step 3.3.1.4

Separate fractions.

$y = 1.25 + \frac{0.25}{0.4} \cdot \frac{x}{1}$

Step 3.3.1.5

Divide

$0.25$ by

$0.4$ .

$y = 1.25 + 0.625 \frac{x}{1}$

Step 3.3.1.6

Divide

$x$ by

$1$ .

$y = 1.25 + 0.625 x$

$0.5 = 0.4 y - 0.25 x$

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