Solve the set of simultaneous equations. 2x + y = 5 ; 3x – y =

1.	Solve the set of simultaneous equations. 2x + y = 5 ; 3x – y = 5
Answer» 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.

Solve the set of simultaneous equations. 2x + y = 5 ; 3x – y = 5

Answer»

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.