Algebra Examples

$x - 3 y = 4$ , $x + 2 y = 1$

Step 1

Reduce the system.

$y = - \frac{4}{3} + \frac{x}{3}, y = \frac{1}{2} - \frac{x}{2}$

Step 2

Simplify the right side.

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Step 2.1

Reorder $- \frac{4}{3}$ and $\frac{x}{3}$ .

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

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

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

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

Step 3

Simplify the right side.

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Step 3.1

Reorder $\frac{1}{2}$ and $- \frac{x}{2}$ .

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

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

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

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