Given that \(\frac{(3 - y)}{2x}\) = \(\frac{(6y + 7)}{(4x - 5)}\), find the value of x when y = 2
A
\(\frac{64}{5}\)
B
6
C
\(\frac{5}{34}\)
D
\(\frac{-5}{34}\)
E
\(\frac{-64}{5}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Given:
\(\frac{3 - y}{2x} = \frac{6y + 7}{4x - 5}\)
Substitute y = 2
\(\frac{3 - 2}{2x} = \frac{6(2) + 7}{4x - 5} \implies \frac{1}{2x} = \frac{19}{4x - 5}\)
Cross-multiply: 1 \(\cdot\) (4x - 5) = 19 \(\cdot\) 2x
4x - 5 = 38x
-5 = 38x - 4x
-5 = 34x
x = -\(\frac{5}{34}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #41801)