Question

What is the value of x in the proportion StartFraction 2 x plus 7 over 3 x minus 4 EndFraction equals 11 over 2?

A. 2
B. 58
C. eleven-twenty-ninths
D. two-fifths

Answer 1

We rewrite the expression:
(2x + 7) / (3x-4) = (11/2)
We clear the value of x:
2 * (2x + 7) = (11) * (3x-4)
4x + 14 = 33x-44
4x + 14 = 33x-44
33x-4x = 14 + 44
29x = 58
x = 58/29
x = 2
Answer:
the value of x in the ratio StartFraction 2 x plus 7 over 3 x minus 4 EndFraction equals 11 over 2 is:
A. 2