Question

Solve the  set of simultaneous equations.

 2x + y = 5 ; 3x – y = 5

Answer 1

2x + y = 5 …(i) 

3x – y = 5 …(ii) 

Adding equations (i) and (ii),

 2x + y = 5 + 3x – y = 5 

5x = 10 

∴ x = \(\frac{10}{5}\)

∴ x = 2

 Substituting x = 2 in equation (i),

 2(2) + y = 5 

4 + y = 5 

∴ y = 5 – 4 = 1

∴ (2, 1) is the solution of the given equations.