Basic Math Examples

$y = 2.4 z + 6.9$

Step 1

Rewrite the equation as $2.4 z + 6.9 = y$ .

$2.4 z + 6.9 = y$

Step 2

Subtract $6.9$ from both sides of the equation.

$2.4 z = y - 6.9$

Step 3

Divide each term in $2.4 z = y - 6.9$ by $2.4$ and simplify.

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Step 3.1

Divide each term in $2.4 z = y - 6.9$ by $2.4$ .

$\frac{2.4 z}{2.4} = \frac{y}{2.4} + \frac{- 6.9}{2.4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2.4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2.4 z}{2.4} = \frac{y}{2.4} + \frac{- 6.9}{2.4}$

Step 3.2.1.2

Divide $z$ by $1$ .

$z = \frac{y}{2.4} + \frac{- 6.9}{2.4}$

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

Multiply by $1$ .

$z = \frac{1 y}{2.4} + \frac{- 6.9}{2.4}$

Step 3.3.1.2

Factor $2.4$ out of $2.4$ .

$z = \frac{1 y}{2.4 (1)} + \frac{- 6.9}{2.4}$

Step 3.3.1.3

Separate fractions.

$z = \frac{1}{2.4} \cdot \frac{y}{1} + \frac{- 6.9}{2.4}$

Step 3.3.1.4

Divide $1$ by $2.4$ .

$z = 0.41\overline{6} \frac{y}{1} + \frac{- 6.9}{2.4}$

Step 3.3.1.5

Divide $y$ by $1$ .

$z = 0.41\overline{6} y + \frac{- 6.9}{2.4}$

Step 3.3.1.6

Divide $- 6.9$ by $2.4$ .

$z = 0.41\overline{6} y - 2.875$