Algebra Examples

$y = x - 2$ $7 y - 4 x = 10$

Step 1

Add $4 x$ to both sides of the equation.

$7 y = 10 + 4 x$

$y = x - 2$

Step 2

Divide each term in $7 y = 10 + 4 x$ by $7$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $7 y = 10 + 4 x$ by $7$ .

$\frac{7 y}{7} = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

$y = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

$y = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

$y = \frac{10}{7} + \frac{4 x}{7}$

$y = x - 2$

Step 3

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

$(8, 6)$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$