Precalculus Examples

$x = t + 6$ , $y = 3 t - 2$

Step 1

Remove parentheses.

$x = \frac{y}{3} + \frac{2}{3} + 6$

$t = \frac{y}{3} + \frac{2}{3}$

Step 2

Remove parentheses.

$x = (\frac{y}{3} + \frac{2}{3}) + 6$

$t = \frac{y}{3} + \frac{2}{3}$

Step 3

Simplify $(\frac{y}{3} + \frac{2}{3}) + 6$ .

Tap for more steps...

Step 3.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x = \frac{y}{3} + \frac{2}{3} + 6 \cdot \frac{3}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

Step 3.2

Combine $6$ and $\frac{3}{3}$ .

$x = \frac{y}{3} + \frac{2}{3} + \frac{6 \cdot 3}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

Step 3.3

Combine the numerators over the common denominator.

$x = \frac{y}{3} + \frac{2 + 6 \cdot 3}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

Step 3.4

Simplify the numerator.

Tap for more steps...

Step 3.4.1

Multiply $6$ by $3$ .

$x = \frac{y}{3} + \frac{2 + 18}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

Step 3.4.2

Add $2$ and $18$ .

$x = \frac{y}{3} + \frac{20}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

$x = \frac{y}{3} + \frac{20}{3}$

$t = \frac{y}{3} + \frac{2}{3}$

$x = \frac{y}{3} + \frac{20}{3}$

$t = \frac{y}{3} + \frac{2}{3}$