Question

If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the value of a + 2b is _________


A) 5
B) 7
C) 9
D) 11

Answer 1

Step-by-step explanation:

A) 5

B) 7

C) 9

D) 11

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Answer 2

Answer:

    7

Step-by-step explanation:

x – y = 2  ....... (1)

x + y = 4  ....... (2)

by elimination , addition of both equations

we have,

2x = 6

x = 6/2

x = 3

substitute x = 2 in equation (2)

x + y = 4

2 + y = 4

  y = 4 - 2  = -2

  y = 2

now,

a + 2b = 3 + 2(2)    ( x = 3 and y = 2)

            = 3 + 4

            = 7