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=
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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").