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

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: Option 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})