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

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

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})