Answer:
M=-2
Step-by-step explanation:
3m+2−1/4m=1/2(m−5)
Step 1: Simplify both sides of the equation.
3m+2−1/4m=1/2(m−5)
3m+2+−1/4m=(1/2)(m)+(1/2)(−5)(Distribute)
3m+2+−1/4m=1/2m+−5/2
(3m+−1/4m)+(2)=1/2m+−5/2
(Combine Like Terms)
11/4m+2=1/2m+−5/2
11/4m+2=1/2m+−5/2
Step 2: Subtract 1/2m from both sides.
11/4m+2−1/2m=1/2m+-5/2−1/2m
9/4m+2=−5/2
Step 3: Subtract 2 from both sides.
9/4m+2−2=−5/2−2
9/4m=−9/2
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4m)=(4/9)*(−9/2)
m=−2
Answer:
m=−2