Question

Solve the following simultaneous equations:

x + y = 4; 2x – y = 2

Answer 1

x + y = 4    ...(I)

2x – y = 2  ...(II)

By adding equations (I) and (II)

x + y = 4
2x – y = 2
3x = 6

x = `6/3`

x = 2

Substituting the value of x = 2 in eqn. (I),

x + y = 4

2 + y = 4

y = 4 – 2

y = 2

Thus, the solution to the given equations is (2, 2).