Finite Math Examples

$7 x = - 4 y + 0$

Step 1

Solve for $y$ .

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Step 1.1

Rewrite the equation as $- 4 y + 0 = 7 x$ .

$- 4 y + 0 = 7 x$

Step 1.2

Add $- 4 y$ and $0$ .

$- 4 y = 7 x$

Step 1.3

Divide each term in $- 4 y = 7 x$ by $- 4$ and simplify.

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Step 1.3.1

Divide each term in $- 4 y = 7 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{7 x}{- 4}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 4$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{7 x}{- 4}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{7 x}{- 4}$

$y = \frac{7 x}{- 4}$

$y = \frac{7 x}{- 4}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Move the negative in front of the fraction.

$y = - \frac{7 x}{4}$

$y = - \frac{7 x}{4}$

$y = - \frac{7 x}{4}$

$y = - \frac{7 x}{4}$

Step 2

Set $- 4 y + 0$ equal to $0$ .

$- \frac{7 x}{4} = 0$

Step 3

Solve for $x$ .

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Step 3.1

Set the numerator equal to zero.

$7 x = 0$

Step 3.2

Divide each term in $7 x = 0$ by $7$ and simplify.

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Step 3.2.1

Divide each term in $7 x = 0$ by $7$ .

$\frac{7 x}{7} = \frac{0}{7}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $7$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{0}{7}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{7}$

$x = \frac{0}{7}$

$x = \frac{0}{7}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $0$ by $7$ .

$x = 0$

$x = 0$

$x = 0$

$x = 0$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$