Algebra Examples

$\frac{1}{2} x - 5 = \frac{1}{3} x + 6$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - 5 = \frac{1}{3} x + 6$

Step 2.2

Simplify the right side.

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Step 2.2.1

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{2} - 5 = \frac{x}{3} + 6$

Step 2.3

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution