Calculus Examples

$- 11 x + 9 (y + x) = 5$

Step 1

Solve for $y$ .

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Step 1.1

Simplify $- 11 x + 9 (y + x)$ .

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Step 1.1.1

Apply the distributive property.

$- 11 x + 9 y + 9 x = 5$

Step 1.1.2

Add $- 11 x$ and $9 x$ .

$- 2 x + 9 y = 5$

$- 2 x + 9 y = 5$

Step 1.2

Add $2 x$ to both sides of the equation.

$9 y = 5 + 2 x$

Step 1.3

Divide each term in $9 y = 5 + 2 x$ by $9$ and simplify.

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Step 1.3.1

Divide each term in $9 y = 5 + 2 x$ by $9$ .

$\frac{9 y}{9} = \frac{5}{9} + \frac{2 x}{9}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $9$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{9 y}{9} = \frac{5}{9} + \frac{2 x}{9}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{5}{9} + \frac{2 x}{9}$

$y = \frac{5}{9} + \frac{2 x}{9}$

$y = \frac{5}{9} + \frac{2 x}{9}$

$y = \frac{5}{9} + \frac{2 x}{9}$

$y = \frac{5}{9} + \frac{2 x}{9}$

Step 2

Reorder $\frac{5}{9}$ and $\frac{2 x}{9}$ .

$y = \frac{2 x}{9} + \frac{5}{9}$

Step 3

Reorder terms.

$y = \frac{2}{9} x + \frac{5}{9}$

Step 4

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