Finite Math Examples

$y \cdot 1 = 24 x + \frac{1}{{(1 + x)}^{60}}$ , $y \cdot 2 = 1$

Step 1

Divide each term in $y \cdot 2 = 1$ by $2$ and simplify.

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Step 1.1

Divide each term in $y \cdot 2 = 1$ by $2$ .

$\frac{y \cdot 2}{2} = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{y \cdot 2}{2} = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 2

Replace all occurrences of $y$ with $\frac{1}{2}$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $y = 24 x + \frac{1}{{(1 + x)}^{60}}$ with $\frac{1}{2}$ .

$\frac{1}{2} = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Remove parentheses.

$\frac{1}{2} = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

$\frac{1}{2} = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

$\frac{1}{2} = 24 x + \frac{1}{{(1 + x)}^{60}}$

$y = \frac{1}{2}$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 1.93784362$

$y = \frac{1}{2}$

Step 4

Solve the system of equations.

$x \approx - 1.93784362 y = \frac{1}{2}$

Step 5