Question

Please Help Solve for r. 1/3r+1=−2/3r−2

Answer 1

Answer:

-3

Step-by-step explanation:

Answer 2

Answer:

$r=-3$

Step-by-step explanation:

We have the equation:

$\displaystyle \frac{1}{3}r+1=-\frac{2}{3}r-2$

And we would like to solve for r.

First, we can multiply both sides by the denominator 3. This will remove the fractions. So:

$\displaystyle 3(\frac{1}{3}r+1)=3(-\frac{2}{3}r-2)$

Distribute:

$\displaystyle r+3=-2r-6$

Now, we can add 2r to both sides:

$3r+3=-6$

And we can also subtract 3 from both sides:

$3r=-9$

Finally, we can divide both sides by 3 to get:

$r=-3$