Solve the simultaneous equations 2x - 3y = -10,  10x - 6y = -5

A.

x = 2\(\frac{1}{2}\), y = 5

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 is A

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

6y = 25 + 5 → 30

y = \(\frac{30}{6}\)

y = 5