Question

What value will make the equation 3m + 5/4 - (3m)/4 = - 2 true? Write your answer as a fraction . ( 1 point ) The value for m that makes the equation true is m Check answer Remaining Attempts: 2 View previous attempt

Answer 1

To solve the equation \(3m + \frac{5}{4} - \frac{3m}{4} = -2\), we can start by simplifying and isolating the variable \(m\).

First, let's rewrite the equation clearly:

\[
3m + \frac{5}{4} - \frac{3m}{4} = -2
\]

Next, we can express \(3m\) with a common denominator of 4:

\[
3m = \frac{12m}{4}
\]

So the equation becomes:

\[
\frac{12m}{4} - \frac{3m}{4} + \frac{5}{4} = -2
\]

Combining the fractions on the left gives:

\[
\frac{12m - 3m + 5}{4} = -2
\]
\[
\frac{9m + 5}{4} = -2
\]

Now, multiply both sides by 4 to eliminate the fraction:

\[
9m + 5 = -8
\]

Next, subtract 5 from both sides:

\[
9m = -8 - 5
\]
\[
9m = -13
\]

Now, divide both sides by 9:

\[
m = \frac{-13}{9}
\]

The value for \(m\) that makes the equation true is:

\[
\boxed{\frac{-13}{9}}
\]