Pre-Algebra Examples

$5 x + 27 y = 5 x + 6$

Step 1

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

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Step 1.1

Subtract $5 x$ from both sides of the equation.

$27 y = 5 x + 6 - 5 x$

Step 1.2

Combine the opposite terms in $5 x + 6 - 5 x$ .

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Step 1.2.1

Subtract $5 x$ from $5 x$ .

$27 y = 0 + 6$

Step 1.2.2

Add $0$ and $6$ .

$27 y = 6$

Step 2

Divide each term in $27 y = 6$ by $27$ and simplify.

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Step 2.1

Divide each term in $27 y = 6$ by $27$ .

$\frac{27 y}{27} = \frac{6}{27}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $27$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{27 y}{27} = \frac{6}{27}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{6}{27}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $6$ and $27$ .

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Step 2.3.1.1

Factor $3$ out of $6$ .

$y = \frac{3 (2)}{27}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $3$ out of $27$ .

$y = \frac{3 \cdot 2}{3 \cdot 9}$

Step 2.3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot 2}{3 \cdot 9}$

Step 2.3.1.2.3

Rewrite the expression.

$y = \frac{2}{9}$

Step 3

The given equation $y = \frac{2}{9}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$