0.5(m + 4) = 3(m – 1) (1 point) Responses –2 2 no solution no solution identity
Let's solve the equation step by step:
0.5(m + 4) = 3(m – 1)
First, distribute 0.5 to both terms inside the parentheses:
0.5 * m + 0.5 * 4 = 3 * m - 3
0.5m + 2 = 3m - 3
Next, subtract 0.5m from both sides of the equation:
2 = 2.5m - 3
Next, add 3 to both sides of the equation:
5 = 2.5m
Finally, divide both sides of the equation by 2.5 to solve for m:
5 / 2.5 = m
2 = m
Therefore, the solution is m = 2.
To solve the equation 0.5(m + 4) = 3(m - 1), follow these steps:
Step 1: Distribute the 0.5 and 3 coefficients to the terms inside the parentheses:
0.5m + 2 = 3m - 3
Step 2: Combine like terms on each side of the equation:
0.5m - 3m = -3 - 2
-2.5m = -5
Step 3: Divide both sides of the equation by -2.5 to isolate the variable m:
m = (-5) / (-2.5)
Step 4: Simplify the expression on the right-hand side:
m = 2
Therefore, the solution to the equation 0.5(m + 4) = 3(m - 1) is m = 2.
To solve the given equation 0.5(m + 4) = 3(m – 1), we will distribute the 0.5 and 3 to simplify the equation. Let's follow these steps:
Step 1: Distribute 0.5 to (m + 4):
0.5(m + 4) = 0.5m + 0.5(4) = 0.5m + 2
Step 2: Distribute 3 to (m - 1):
3(m - 1) = 3m - 3
Now our equation becomes: 0.5m + 2 = 3m - 3
Step 3: Bring similar terms together:
To solve for m, we need to get all the "m" terms on one side and all the constant terms on the other side.
Subtract 0.5m from both sides:
0.5m + 2 - 0.5m = 3m - 3 - 0.5m
2 = 2.5m - 3
Add 3 to both sides:
2 + 3 = 2.5m - 3 + 3
5 = 2.5m
Step 4: Isolate m:
Divide both sides by 2.5:
5/2.5 = (2.5m)/2.5
2 = m
So the solution to the equation 0.5(m + 4) = 3(m - 1) is m = 2.