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
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