Finite Math Examples

$180 + 0.06 y + 360 + 0.03 x = 7$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$180 + 0.06 (0) + 360 + 0.03 x = 7$

Step 1.2

Solve the equation.

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Step 1.2.1

Simplify $180 + 0.06 (0) + 360 + 0.03 x$ .

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Step 1.2.1.1

Multiply $0.06$ by $0$ .

$180 + 0 + 360 + 0.03 x = 7$

Step 1.2.1.2

Add $180$ and $0$ .

$180 + 360 + 0.03 x = 7$

Step 1.2.1.3

Add $180$ and $360$ .

$540 + 0.03 x = 7$

Step 1.2.2

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

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Step 1.2.2.1

Subtract $540$ from both sides of the equation.

$0.03 x = 7 - 540$

Step 1.2.2.2

Subtract $540$ from $7$ .

$0.03 x = - 533$

Step 1.2.3

Divide each term in $0.03 x = - 533$ by $0.03$ and simplify.

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Step 1.2.3.1

Divide each term in $0.03 x = - 533$ by $0.03$ .

$\frac{0.03 x}{0.03} = \frac{- 533}{0.03}$

Step 1.2.3.2

Simplify the left side.

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Step 1.2.3.2.1

Cancel the common factor of $0.03$ .

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Step 1.2.3.2.1.1

Cancel the common factor.

$\frac{0.03 x}{0.03} = \frac{- 533}{0.03}$

Step 1.2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 533}{0.03}$

Step 1.2.3.3

Simplify the right side.

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Step 1.2.3.3.1

Divide $- 533$ by $0.03$ .

$x = - 17766.\overline{6}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(- 17766.\overline{6}, 0)$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$180 + 0.06 y + 360 + 0.03 (0) = 7$

Step 2.2

Solve the equation.

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Step 2.2.1

Simplify $180 + 0.06 y + 360 + 0.03 (0)$ .

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Step 2.2.1.1

Multiply $0.03$ by $0$ .

$180 + 0.06 y + 360 + 0 = 7$

Step 2.2.1.2

Add $180 + 0.06 y + 360$ and $0$ .

$180 + 0.06 y + 360 = 7$

Step 2.2.1.3

Add $180$ and $360$ .

$0.06 y + 540 = 7$

Step 2.2.2

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

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Step 2.2.2.1

Subtract $540$ from both sides of the equation.

$0.06 y = 7 - 540$

Step 2.2.2.2

Subtract $540$ from $7$ .

$0.06 y = - 533$

Step 2.2.3

Divide each term in $0.06 y = - 533$ by $0.06$ and simplify.

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Step 2.2.3.1

Divide each term in $0.06 y = - 533$ by $0.06$ .

$\frac{0.06 y}{0.06} = \frac{- 533}{0.06}$

Step 2.2.3.2

Simplify the left side.

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Step 2.2.3.2.1

Cancel the common factor of $0.06$ .

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Step 2.2.3.2.1.1

Cancel the common factor.

$\frac{0.06 y}{0.06} = \frac{- 533}{0.06}$

Step 2.2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 533}{0.06}$

Step 2.2.3.3

Simplify the right side.

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Step 2.2.3.3.1

Divide $- 533$ by $0.06$ .

$y = - 8883.\overline{3}$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - 8883.\overline{3})$

Step 3

List the intersections.

x-intercept(s): $(- 17766.\overline{6}, 0)$

y-intercept(s): $(0, - 8883.\overline{3})$

Step 4