Question

Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?

1/2(4x + 6) = 1/3(9x - 24)

Please help me with this! Much thanks!

Answer 1

without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)