Finite Math Examples

$7 x + 4 y - 1 = 0$

Step 1

Solve for $y$ .

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Step 1.1

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

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Step 1.1.1

Subtract $7 x$ from both sides of the equation.

$4 y - 1 = - 7 x$

Step 1.1.2

Add $1$ to both sides of the equation.

$4 y = - 7 x + 1$

Step 1.2

Divide each term in $4 y = - 7 x + 1$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 y = - 7 x + 1$ by $4$ .

$\frac{4 y}{4} = \frac{- 7 x}{4} + \frac{1}{4}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 7 x}{4} + \frac{1}{4}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7 x}{4} + \frac{1}{4}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Move the negative in front of the fraction.

$y = - \frac{7 x}{4} + \frac{1}{4}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.