Question

what value will make the equation 3m + 5/4 - 3m/4= -2 true? write Ur answer as a fraction.
The value for m that makes the equation true is m=___

Answer 1

To solve the equation, we need to simplify and isolate the variable m:

3m + 5/4 - 3m/4 = -2

First, let's find a common denominator for the fractions involved:

3m + 5/4 - 3m/4 = -2

Multiplying the first term by 4/4 gives:

(3m)(4/4) + 5/4 - 3m/4 = -2

Simplifying the expression gives:

12m/4 + 5/4 - 3m/4 = -2

Combining the fractions gives:

(12m + 5 - 3m)/4 = -2

Next, let's simplify the numerator:

12m + 5 - 3m = -8

Combining like terms gives:

9m + 5 = -8

Subtracting 5 from both sides:

9m = -13

Finally, divide both sides by 9 to solve for m:

m = -13/9

Therefore, the value for m that makes the equation true is m = -13/9.