Finite Math Examples

$(104, 40)$ , $y = \frac{5 x}{9} - \frac{160}{9}$

Step 1

Insert the values of $x = 104$ and $y = 40$ into the equation to find if the ordered pair is a solution.

$40 = \frac{5 (104)}{9} - \frac{160}{9}$

Step 2

Simplify $\frac{5 (104)}{9} - \frac{160}{9}$ .

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Step 2.1

Combine the numerators over the common denominator.

$40 = \frac{5 (104) - 160}{9}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $5$ by $104$ .

$40 = \frac{520 - 160}{9}$

Step 2.2.2

Subtract $160$ from $520$ .

$40 = \frac{360}{9}$

Step 2.2.3

Divide $360$ by $9$ .

$40 = 40$

Step 3

Since $40 = 40$ , the equation will always be true.

Always true

Step 4

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.