Search SchoolNGR

Saturday, 07 March 2026
Register . Login

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

Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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\(\frac{1}{2}\)

Share question on: