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=___
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.
To solve the equation 3m + 5/4 - 3m/4 = -2, we need to isolate the variable m on one side of the equation. Here's how you can do it step by step:
Step 1: Combine like terms
Combine the terms with m on the left side of the equation. In this case, 3m and -3m can be combined to give 0.
So, the equation becomes: 5/4 - 3m/4 = -2
Step 2: Get rid of fractions (optional)
To get rid of fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 4 and 1 is 4.
Multiply both sides by 4: 4 * (5/4 - 3m/4) = 4 * (-2)
This simplifies to: 5 - 3m = -8
Step 3: Move constants to the other side
Move the constants (-8) to the right side of the equation by adding 8 to both sides:
5 - 3m + 8 = -8 + 8
This simplifies to: 13 - 3m = 0
Step 4: Move the variable term to the other side
Move the term with m to the right side of the equation by subtracting 5 from both sides:
13 - 3m - 13 = 0 - 13
This simplifies to: -3m = -13
Step 5: Solve for m
To solve for m, divide both sides of the equation by -3:
(-3m)/(-3) = (-13)/(-3)
This simplifies to: m = 13/3
Therefore, the value of m that makes the equation true is m = 13/3.
To find the value of m that makes the equation true, let's simplify and solve the equation step by step:
1. Start with the given equation: 3m + 5/4 - 3m/4 = -2.
2. Combine like terms on the left side of the equation: (3m - 3m)/4 + 5/4 = -2.
3. Simplify the numerators: 0/4 + 5/4 = -2.
4. Combine the fractions: 5/4 = -2.
5. To solve for m, we need to isolate the variable. Subtract 5/4 from both sides of the equation: 5/4 - 5/4 = -2 - 5/4.
6. Simplify the left side: 0 = -(8/4) - 5/4.
7. Combine the numerators: 0 = -13/4.
8. Since 0 is not equal to -13/4, there is no value of m that makes the equation true.
Therefore, the value for m that makes the equation true is undefined.