What value will make the equation 3m+5/4−3m/4=−2

Question

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 first simplify the left side.

1. Combine the fractions on the left side:

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

This simplifies to:

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

2. To eliminate the fraction, multiply both sides by 4:

\[ 5 = -2 \times 4 \]

This results in:

\[ 5 = -8 \]

This equation is clearly false, hence it implies there is no real value of \( m \) that can satisfy the original equation.

Thus, the equation has no solution.