Question

Write that what value will make the equation 3m + 5/4 - 3M / 4 = -2

Answer 1

To solve the equation \( \frac{3m + 5}{4} - \frac{3M}{4} = -2 \), let’s rewrite and simplify it step-by-step.

1. Start with the original equation:

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

2. Combine the fractions on the left side:

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

3. Multiply both sides by 4 to eliminate the denominator:

\[
3m + 5 - 3M = -8
\]

4. Rearrange the equation:

\[
3m - 3M + 5 = -8
\]

5. Subtract 5 from both sides:

\[
3m - 3M = -13
\]

6. Factor out the common factor of 3:

\[
3(m - M) = -13
\]

7. Divide both sides by 3:

\[
m - M = -\frac{13}{3}
\]

8. Now isolate \( m \):

\[
m = M - \frac{13}{3}
\]

Thus, the value of \( m \) in terms of \( M \) is \( m = M - \frac{13}{3} \). To find specific numerical values, you will need a value for \( M \).