Solution: Solve the simultaneous equations: 2x^2 - 3y^2 = 6 and 3x^2 + 2y^2 = 35

Solve the simultaneous equations: 2x^2 - 3y^2 = 6 and 3x^2 + 2y^2 = 35. How to solve problems involving two equations and two unknowns?

Solve the simultaneous equations: 2x^2 - 3y^2 = 6 and 3x^2 + 2y^2 = 35

Problem Statement: ME Board October 1996

Solve the simultaneous equations:

2x^2 - 3y^2 = 6

3x^2 + 2y^2 = 35

  • A. x = 3 or -3; y = 2 or -2
  • B. x = 3 or -3, y = -2 or 1
  • C. x = 3 or -3, y = -2 or -1
  • D. x = 3 or -3, y = 2 or -3

Problem Answer:

The value of x is equal to ±3 while y is equal to ±2.

Solution:

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