Finite Math Examples

$18 x + 25 y + 940 z = R$

Step 1

Solve the equation for $y$ .

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Step 1.1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1.1

Subtract $18 x$ from both sides of the equation.

$25 y + 940 z = R - 18 x$

Step 1.1.2

Subtract $940 z$ from both sides of the equation.

$25 y = R - 18 x - 940 z$

Step 1.2

Divide each term in $25 y = R - 18 x - 940 z$ by $25$ and simplify.

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Step 1.2.1

Divide each term in $25 y = R - 18 x - 940 z$ by $25$ .

$\frac{25 y}{25} = \frac{R}{25} + \frac{- 18 x}{25} + \frac{- 940 z}{25}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $25$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{25 y}{25} = \frac{R}{25} + \frac{- 18 x}{25} + \frac{- 940 z}{25}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{R}{25} + \frac{- 18 x}{25} + \frac{- 940 z}{25}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Move the negative in front of the fraction.

$y = \frac{R}{25} - \frac{18 x}{25} + \frac{- 940 z}{25}$

Step 1.2.3.1.2

Cancel the common factor of $- 940$ and $25$ .

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Step 1.2.3.1.2.1

Factor $5$ out of $- 940 z$ .

$y = \frac{R}{25} - \frac{18 x}{25} + \frac{5 (- 188 z)}{25}$

Step 1.2.3.1.2.2

Cancel the common factors.

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Step 1.2.3.1.2.2.1

Factor $5$ out of $25$ .

$y = \frac{R}{25} - \frac{18 x}{25} + \frac{5 (- 188 z)}{5 (5)}$

Step 1.2.3.1.2.2.2

Cancel the common factor.

$y = \frac{R}{25} - \frac{18 x}{25} + \frac{5 (- 188 z)}{5 \cdot 5}$

Step 1.2.3.1.2.2.3

Rewrite the expression.

$y = \frac{R}{25} - \frac{18 x}{25} + \frac{- 188 z}{5}$

Step 1.2.3.1.3

Move the negative in front of the fraction.

$y = \frac{R}{25} - \frac{18 x}{25} - \frac{188 z}{5}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ , the degree of variable $R$ is $1$ , the degree of variable $x$ is $1$ and the degree of variable $z$ is $1$ .

Linear