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

Please Help Solve for r. 1/3r+1=−2/3r−2 - id1312329989829, paolaz80045

zibnmustafah

13.02.2022

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

0,0(0 оценок)