Advertisements
Advertisements
Question
Solve the linear equation:
`m - (m -1)/2 = 1 - (m - 2)/3`
Solution
`m - (m -1)/2 = 1 - (m - 2)/3`
`(2m - (m - 1))/2 = (3 - (m - 2))/3`
`(2m - m + 1)/2 = (3 - 3 + 2)/3`
`(m + 1)/2 = (5 - m)/3`
3(m + 1) = 2(5 − m)
3m + 3 = 10 − 2m
3m + 2m = 10 − 3
5m = 7
`m = 7/5`
APPEARS IN
RELATED QUESTIONS
Solve the linear equation:
`n/2 - (3n)/4 + (5n)/6 = 21`
Solve the linear equation:
`x + 7 - (8x)/3 = 17/6 - (5x)/2`
Solve the linear equation:
`(x - 5)/3 = (x - 3)/5`
Solve the linear equation:
`(3t - 2)/4 - (2t + 3)/3 = 2/3 - t`
Simplify and solve the linear equation:
`3(t - 3) = 5(2t + 1)`
Simplify and solve the linear equation:
3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
Solve: `(6x + 1)/3 + 1 = (x - 3)/6`
Solve: 5x - 2(2x - 7) = 2(3x - 1) + `7/2`
Solve the following:
1 – (x – 2) – [(x – 3) – (x – 1)] = 0
Denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Find the fraction.