in the given equation find the value of variable m 17m-3/2=5m+14

Answer 1

17 m - 3 / 2 = 5 m + 14 Subtract 5 m to both sides

17 m - 3 / 2 - 5 m = 5 m + 14 - 5 m

12 m - 3 / 2 = 14 Add 3 / 2 to both sides

12 m - 3 / 2 + 3 / 2 = 14 + 3 / 2

12 m = 14 + 3 / 2

12 m = 28 / 2 + 3 / 2

12 m = 31 / 2 Divide both sides by 12

m = ( 31 / 2 ) / 12

m = 31 / ( 2 * 12 )

m = 31 / 24