Algebra Examples

$x + 2 y = 5$

Solve the equation for $y$ .

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Subtract $x$ from both sides of the equation.

$2 y = 5 - x$

Divide each term in $2 y = 5 - x$ by $2$ and simplify.

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Divide each term in $2 y = 5 - x$ by $2$ .

$\frac{2 y}{2} = \frac{5}{2} + \frac{- x}{2}$

Simplify the left side.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 y}{2} = \frac{5}{2} + \frac{- x}{2}$

Divide $y$ by $1$ .

$y = \frac{5}{2} + \frac{- x}{2}$

Simplify the right side.

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Move the negative in front of the fraction.

$y = \frac{5}{2} - \frac{x}{2}$

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 $1$ and the degree of variable $x$ is $1$ .

Linear