Finite Math Examples

$y \cdot 4 + 43$

Step 1

Solve for $y$ .

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Step 1.1

Rewrite the equation as $y \cdot 4 + 43 = x$ .

$y \cdot 4 + 43 = x$

Step 1.2

Move $4$ to the left of $y$ .

$4 y + 43 = x$

Step 1.3

Subtract $43$ from both sides of the equation.

$4 y = x - 43$

Step 1.4

Divide each term in $4 y = x - 43$ by $4$ and simplify.

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Step 1.4.1

Divide each term in $4 y = x - 43$ by $4$ .

$\frac{4 y}{4} = \frac{x}{4} + \frac{- 43}{4}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $4$ .

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Step 1.4.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{x}{4} + \frac{- 43}{4}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{4} + \frac{- 43}{4}$

$y = \frac{x}{4} + \frac{- 43}{4}$

$y = \frac{x}{4} + \frac{- 43}{4}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Move the negative in front of the fraction.

$y = \frac{x}{4} - \frac{43}{4}$

$y = \frac{x}{4} - \frac{43}{4}$

$y = \frac{x}{4} - \frac{43}{4}$

$y = \frac{x}{4} - \frac{43}{4}$

Step 2

Move $4$ to the left of $y$ .

$4 y + 43 = 0$

Step 3

Subtract $43$ from both sides of the equation.

$4 y = - 43$

Step 4

Divide each term in $4 y = - 43$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 y = - 43$ by $4$ .

$\frac{4 y}{4} = \frac{- 43}{4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 43}{4}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 43}{4}$

$y = \frac{- 43}{4}$

$y = \frac{- 43}{4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$y = - \frac{43}{4}$

$y = - \frac{43}{4}$

$y = - \frac{43}{4}$

Step 5

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