Question

x+y=2 and 2x+y=4 by elimination method​

Answer 1

Answer:

Question :-

x + y = 2 and 2x + y = 4 by elimination method

Solution :-

x + y = 2 . . . . (1)

2x + y = 4 . . . . (2)

Multiply equation (1) by 2, we get

2x + 2y = 4 . . . . (3)

2x + y = 4 . . . . . (4)

Adding (3) and (4) we get,

2x + 2y = 4

2x + y = 4

(-) (-) (-)

________

y = 0

Substituting the value of y = 0 in equation (1) we get,

x + y = 2

➭ x + (0) = 2

➭ x = 2

∴ The value of x = 2, y = 0 is the solution of the system of the given equations.