Algebra Examples

$5 x y + 4 = 9$

Step 1

Solve the equation 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 $4$ from both sides of the equation.

$5 x y = 9 - 4$

Step 1.1.2

Subtract $4$ from $9$ .

$5 x y = 5$

Step 1.2

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

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Step 1.2.1

Divide each term in $5 x y = 5$ by $5 x$ .

$\frac{5 x y}{5 x} = \frac{5}{5 x}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $5$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{5 x y}{5 x} = \frac{5}{5 x}$

Step 1.2.2.1.2

Rewrite the expression.

$\frac{x y}{x} = \frac{5}{5 x}$

Step 1.2.2.2

Cancel the common factor of $x$ .

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Step 1.2.2.2.1

Cancel the common factor.

$\frac{x y}{x} = \frac{5}{5 x}$

Step 1.2.2.2.2

Divide $y$ by $1$ .

$y = \frac{5}{5 x}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Cancel the common factor of $5$ .

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Step 1.2.3.1.1

Cancel the common factor.

$y = \frac{5}{5 x}$

Step 1.2.3.1.2

Rewrite the expression.

$y = \frac{1}{x}$

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