Question

Solve for x. 3x/4+2x/3=51
A)122.4
B)36
C)3
Please pick A, B, or C

Answer 1

B

Explanation:

Given

`(3x)/(4)` +
`(2x)/(3)` = 51

Eliminate the fractions by multiplying through by the lowest common multiple of the denominators 4 and 3

The lowest common multiple of 3 and 4 is 12

12 ×
`(3x)/(4)` + 12 ×
`(2x)/(3)` = 12 × 51

9x + 8x = 612

17x = 612 ( divide both sides by 17 )

x = 36 → B

Answer 2

/*12

9x+8x=51*12

17x = 51*12

x = 3*12

x=36

Explanation: