Finite Math Examples

$3 \sqrt{x} + 4 y = 0$

Step 1

Solve the equation for $y$ .

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Step 1.1

Subtract $3 \sqrt{x}$ from both sides of the equation.

$4 y = - 3 \sqrt{x}$

Step 1.2

Divide each term in $4 y = - 3 \sqrt{x}$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 y = - 3 \sqrt{x}$ by $4$ .

$\frac{4 y}{4} = \frac{- 3 \sqrt{x}}{4}$

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.

$\frac{4 y}{4} = \frac{- 3 \sqrt{x}}{4}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 3 \sqrt{x}}{4}$

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.

$y = - \frac{3 \sqrt{x}}{4}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Not Linear