Algebra Examples

x + y = 2

$x + y = 2$

y = - \frac{1}{5} x - 2

$y = - \frac{1}{5} x - 2$

Step 1

Subtract

x

$x$ from both sides of the equation.

y = 2 - x

$y = 2 - x$

y = - \frac{1}{5} x - 2

$y = - \frac{1}{5} x - 2$

Step 2

Combine

x

$x$ and

\frac{1}{5}

$\frac{1}{5}$ .

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

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

y = 2 - x

$y = 2 - x$

Step 3

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(5, - 3)

$(5, - 3)$

Step 4