A. x = 2\(\frac{1}{2}\), y = 3\(\frac{1}{2}\) B. x = \(\frac{1}{2}\), y = \(\frac{3}{2}\) C. x = 2\(\frac{1}{4}\), y = 3\(\frac{1}{2}\) D. x = 2\(\frac{1}{3}\), y = 3\(\frac{1}{2}\) E. x = 2\(\frac{1}{3}\), y = 2\(\frac{1}{2}\)
Correct Answer: A
Explanation
2x - 3y = -10; 10x - 6y = -5 2x - 3y = -10 x 2 10x - 6y = 5 4x - 6y = -20 .......(i) 10x - 6y = 5.......(ii) eqn(ii) - eqn(1) 6x = 15 x = \(\frac{15}{6}\) = \(\frac{5}{2}\) x = 2\(\frac{1}{2}\) Sub. for x in equ.(ii) 10(\(\frac{5}{2}\)) - 6y = 5 y = 3\(\frac{1}{2}\)
