Basic Math Examples

$z (0.1) + y (0.15) = 220 (0.13)$

Step 1

Simplify each term.

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Step 1.1

Move $0.1$ to the left of $z$ .

$0.1 z + y (0.15) = 220 (0.13)$

Step 1.2

Move $0.15$ to the left of $y$ .

$0.1 z + 0.15 y = 220 (0.13)$

Step 2

Multiply $220$ by $0.13$ .

$0.1 z + 0.15 y = 28.6$

Step 3

Subtract $0.1 z$ from both sides of the equation.

$0.15 y = 28.6 - 0.1 z$

Step 4

Divide each term in $0.15 y = 28.6 - 0.1 z$ by $0.15$ and simplify.

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Step 4.1

Divide each term in $0.15 y = 28.6 - 0.1 z$ by $0.15$ .

$\frac{0.15 y}{0.15} = \frac{28.6}{0.15} + \frac{- 0.1 z}{0.15}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.15$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.15 y}{0.15} = \frac{28.6}{0.15} + \frac{- 0.1 z}{0.15}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{28.6}{0.15} + \frac{- 0.1 z}{0.15}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Divide $28.6$ by $0.15$ .

$y = 190.\overline{6} + \frac{- 0.1 z}{0.15}$

Step 4.3.1.2

Move the negative in front of the fraction.

$y = 190.\overline{6} - \frac{0.1 z}{0.15}$

Step 4.3.1.3

Factor $0.1$ out of $0.1 z$ .

$y = 190.\overline{6} - \frac{0.1 (z)}{0.15}$

Step 4.3.1.4

Factor $0.15$ out of $0.15$ .

$y = 190.\overline{6} - \frac{0.1 (z)}{0.15 (1)}$

Step 4.3.1.5

Separate fractions.

$y = 190.\overline{6} - (\frac{0.1}{0.15} \cdot \frac{z}{1})$

Step 4.3.1.6

Divide $0.1$ by $0.15$ .

$y = 190.\overline{6} - (0.\overline{6} \frac{z}{1})$

Step 4.3.1.7

Divide $z$ by $1$ .

$y = 190.\overline{6} - (0.\overline{6} z)$

Step 4.3.1.8

Multiply $0.\overline{6}$ by $- 1$ .

$y = 190.\overline{6} - 0.\overline{6} z$