Finite Math Examples

$5 x + 3 y = 42$

Step 1

Solve for $y$ .

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Step 1.1

Subtract $5 x$ from both sides of the equation.

$3 y = 42 - 5 x$

Step 1.2

Divide each term in $3 y = 42 - 5 x$ by $3$ and simplify.

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Step 1.2.1

Divide each term in $3 y = 42 - 5 x$ by $3$ .

$\frac{3 y}{3} = \frac{42}{3} + \frac{- 5 x}{3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{42}{3} + \frac{- 5 x}{3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{42}{3} + \frac{- 5 x}{3}$

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

Divide $42$ by $3$ .

$y = 14 + \frac{- 5 x}{3}$

Step 1.2.3.1.2

Move the negative in front of the fraction.

$y = 14 - \frac{5 x}{3}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.