Algebra Examples

$4 x + 2 y = 3$

Solve the equation for $y$ .

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Subtract $4 x$ from both sides of the equation.

$2 y = 3 - 4 x$

Divide each term in $2 y = 3 - 4 x$ by $2$ and simplify.

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Divide each term in $2 y = 3 - 4 x$ by $2$ .

$\frac{2 y}{2} = \frac{3}{2} + \frac{- 4 x}{2}$

Simplify the left side.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 y}{2} = \frac{3}{2} + \frac{- 4 x}{2}$

Divide $y$ by $1$ .

$y = \frac{3}{2} + \frac{- 4 x}{2}$

Simplify the right side.

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Cancel the common factor of $- 4$ and $2$ .

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Factor $2$ out of $- 4 x$ .

$y = \frac{3}{2} + \frac{2 (- 2 x)}{2}$

Cancel the common factors.

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Factor $2$ out of $2$ .

$y = \frac{3}{2} + \frac{2 (- 2 x)}{2 (1)}$

Cancel the common factor.

$y = \frac{3}{2} + \frac{2 (- 2 x)}{2 \cdot 1}$

Rewrite the expression.

$y = \frac{3}{2} + \frac{- 2 x}{1}$

Divide $- 2 x$ by $1$ .

$y = \frac{3}{2} - 2 x$

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