Answer :
Let's solve your equation step-by-step .2m−6=3m−14
Step 1: Subtract 3m from both sides.2m−6−3m=3m−14−3m−m−6=−14
Step 2: Add 6 to both sides.−m−6+6=−14+6−m=−8
Step 3: Divide both sides by -1.−m−1=−8−1m=8
Answer:m=8
Step 1: Subtract 3m from both sides.2m−6−3m=3m−14−3m−m−6=−14
Step 2: Add 6 to both sides.−m−6+6=−14+6−m=−8
Step 3: Divide both sides by -1.−m−1=−8−1m=8
Answer:m=8
1. Isolate a square root on the left hand side.
√2m-6=√3m-14
2. Eliminate the radical on the left hand side . Raise both sides to the second power
(√2m-6)2 = (√3m-14)2
3. Solve the linear equation : Rearranged equation
m -8 = 0
Add 8 to both sides
m = 8
A possible solution is :
m = 8
4.Check that the solution is correct : Original equation
√2m-6 = √3m-14
Plug in 8 for m
√2•(8)-6 = √3•(8)-14
Simplify
√10 = 3.162
Solution checks !!
Solution is:
m = 8
√2m-6=√3m-14
2. Eliminate the radical on the left hand side . Raise both sides to the second power
(√2m-6)2 = (√3m-14)2
3. Solve the linear equation : Rearranged equation
m -8 = 0
Add 8 to both sides
m = 8
A possible solution is :
m = 8
4.Check that the solution is correct : Original equation
√2m-6 = √3m-14
Plug in 8 for m
√2•(8)-6 = √3•(8)-14
Simplify
√10 = 3.162
Solution checks !!
Solution is:
m = 8
