Pre-Algebra Examples

$2 x + 7 y = 10 x + 1$

Step 1

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

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Step 1.1

Subtract $2 x$ from both sides of the equation.

$7 y = 10 x + 1 - 2 x$

Step 1.2

Subtract $2 x$ from $10 x$ .

$7 y = 8 x + 1$

Step 2

Divide each term in $7 y = 8 x + 1$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 y = 8 x + 1$ by $7$ .

$\frac{7 y}{7} = \frac{8 x}{7} + \frac{1}{7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{8 x}{7} + \frac{1}{7}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8 x}{7} + \frac{1}{7}$

Step 3

The given equation $y = \frac{8 x}{7} + \frac{1}{7}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

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