# If  3a + 1= \frac { 13} { 3}, what is the value of 3a - 3?

Apr 6, 2018

The value of $3 a - 3$ is $\frac{1}{3}$.

#### Explanation:

To get $3 a - 3$, just subtract $4$ from both sides of the equation:

$3 a + 1 = \frac{13}{3}$

$3 a + 1 \textcolor{b l u e}{-} \textcolor{b l u e}{4} = \frac{13}{3} \textcolor{b l u e}{-} \textcolor{b l u e}{4}$

$3 a - 3 = \frac{13}{3} \textcolor{b l u e}{-} \textcolor{b l u e}{4}$

$3 a - 3 = \frac{13}{3} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{12}{3}}$

$3 a - 3 = \frac{13}{3} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{12}{3}}$

$3 a - 3 = \frac{13 \textcolor{b l u e}{-} \textcolor{b l u e}{12}}{3}$

$3 a - 3 = \frac{1}{3}$

Hope this helped!

Apr 6, 2018

color(indigo)(=>1/3

#### Explanation:

$3 a + 1 = \frac{13}{3}$

$3 a = \frac{13}{3} - 1$

$3 a = \frac{13 - 3}{3} = \frac{10}{3}$

Subtracting 3 on both sides,

$3 a - 3 = \frac{10}{3} - 3 = \frac{10 - 9}{3} = \frac{1}{3}$