Finite Math Examples

$y = - 7.945 x - 503.944$ , $y = - 15.374 x - 608.217$

Step 1

Eliminate the equal sides of each equation and combine.

$- 7.945 x - 503.944 = - 15.374 x - 608.217$

Step 2

Solve $- 7.945 x - 503.944 = - 15.374 x - 608.217$ for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

Add $15.374 x$ to both sides of the equation.

$- 7.945 x - 503.944 + 15.374 x = - 608.217$

Step 2.1.2

Add $- 7.945 x$ and $15.374 x$ .

$7.429 x - 503.944 = - 608.217$

Step 2.2

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

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Step 2.2.1

Add $503.944$ to both sides of the equation.

$7.429 x = - 608.217 + 503.944$

Step 2.2.2

Add $- 608.217$ and $503.944$ .

$7.429 x = - 104.273$

Step 2.3

Divide each term in $7.429 x = - 104.273$ by $7.429$ and simplify.

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Step 2.3.1

Divide each term in $7.429 x = - 104.273$ by $7.429$ .

$\frac{7.429 x}{7.429} = \frac{- 104.273}{7.429}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $7.429$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{7.429 x}{7.429} = \frac{- 104.273}{7.429}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 104.273}{7.429}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $- 104.273$ by $7.429$ .

$x = - 14.03594023$

Step 3

Evaluate $y$ when $x = - 14.03594023$ .

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Step 3.1

Substitute $- 14.03594023$ for $x$ .

$y = - 15.374 \cdot - 14.03594023 - 608.217$

Step 3.2

Substitute $- 14.03594023$ for $x$ in $y = - 15.374 \cdot - 14.03594023 - 608.217$ and solve for $y$ .

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Step 3.2.1

Remove parentheses.

$y = - 15.374 \cdot - 14.03594023 - 608.217$

Step 3.2.2

Simplify $- 15.374 \cdot - 14.03594023 - 608.217$ .

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Step 3.2.2.1

Multiply $- 15.374$ by $- 14.03594023$ .

$y = 215.78854516 - 608.217$

Step 3.2.2.2

Subtract $608.217$ from $215.78854516$ .

$y = - 392.42845483$

Step 4

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

$(- 14.03594023, - 392.42845483)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 14.03594023, - 392.42845483)$

Equation Form:

$x = - 14.03594023, y = - 392.42845483$

Step 6