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A day full of math games & activities. Find one near you.
Solve the linear equation: m - (m - 1)/2 = 1 - (m - 2)/3
Solution:
m - (m - 1)/2 = 1 - (m - 2)/3
Multiply both sides by the LCM of the denominators to get rid of fractional denominator.
Now transpose variables to one side and constants to another side to form a linear equation.
m - (m - 1)/2 = 1 - (m - 2)/3
LCM of the denominators is 6
Multiply the LCM on both sides
⇒ 6[m - (m - 1)/2] = 6[1 - (m - 2)/3]
⇒ 6m - 3m + 3 = 6 - 2m + 4
⇒ 5m = 7
Hence,
m = 7/5
☛ Check: NCERT Solutions for Class 8 Maths Chapter 2
Video Solution:
Solve the linear equation: m - (m - 1)/2 = 1 - (m - 2)/3
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 6
Summary:
The solution to the given linear equation m - (m - 1)/2 = 1 - (m - 2)/3 is m = 7/5
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