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=
.

Answer 1

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

First, we can combine the terms on the left side:

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

This simplifies to:

\[
\frac{5}{4} = -2
\]

Next, we will eliminate the fraction by multiplying both sides of the equation by 4:

\[
5 = -2 \cdot 4
\]

This gives us:

\[
5 = -8
\]

Since this statement is false, the original equation has no solution. Thus, there is no value of \( m \) that can satisfy the equation. So the answer is that there is no value for \( m \) (or we can write "no solution").