Finite Math Examples

$3 x = 32$ , $4 y = 32$

Step 1

Divide each term in $3 x = 32$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 x = 32$ by $3$ .

$\frac{3 x}{3} = \frac{32}{3}$

$4 y = 32$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{32}{3}$

$4 y = 32$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{32}{3}$

$4 y = 32$

$x = \frac{32}{3}$

$4 y = 32$

$x = \frac{32}{3}$

$4 y = 32$

$x = \frac{32}{3}$

$4 y = 32$

Step 2

Divide each term in $4 y = 32$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 y = 32$ by $4$ .

$\frac{4 y}{4} = \frac{32}{4}$

$x = \frac{32}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{32}{4}$

$x = \frac{32}{3}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{32}{4}$

$x = \frac{32}{3}$

$y = \frac{32}{4}$

$x = \frac{32}{3}$

$y = \frac{32}{4}$

$x = \frac{32}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $32$ by $4$ .

$y = 8$

$x = \frac{32}{3}$

$y = 8$

$x = \frac{32}{3}$

$y = 8$

$x = \frac{32}{3}$

Step 3

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(\frac{32}{3}, 8)$

Step 4

The result can be shown in multiple forms.

Point Form:

$(\frac{32}{3}, 8)$

Equation Form:

$x = \frac{32}{3}, y = 8$

Step 5