Question

The value of 7m−3 is half as big as the value of 12m+1

Answer 1

2(7m-3) = 12m+1
14m-6 = 12m+1
2m = 7
m = 7/2

Answer 2

Answer: m = 3
`(1)/(2)`

Explanation:

the value of 7m−3 is half as big as the value of 12m+1 implies that

7m - 3 =
`(1)/(2)` ( 12m + 1)

cross multiplying, we have

2(7m-3) = 12m + 1

Expanding the L.H.S , we have

14m - 6 = 12m + 1

collecting the like terms ,we have

14m - 12m = 1 + 6

2m = 7

Dividing through by 2

m = 7/2

m = 3
`(1)/(2)`