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Ray Of Light [21]
3 years ago
9

Solve the following equation:m - m-1/2 = 1 - m-2/3​

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

m = \frac{7}{5}

Step-by-step explanation:

m - \frac{m-1}{2} = 1 - \frac{m-2}{3}

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m = \frac{7}{5}

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