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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

Respuesta :

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