Question

Which of the following equations have x = 2, y = 1 as the solution?

• A. 2x + 5y = 9
• B. 5x + 3y = 14
• C. 2x + 3y = 17
• D. -x + 2y = 8

Answer 1

The correct option is A

2x + 5y = 9

2x + 5y = 9
Putting, x = 2 and y = 1 as solution.
LHS = (2 x 2) + (5 x 1) = 9 = RHS

5x + 3y=14
Putting, x = 2 and y = 1 as solution.
LHS = (5 x 2) + (3 x 1) = 13 $\ne$ 14 = R.H.S.

2x + 3y = 17
Putting, x = 2 and y = 1 as solution.
LHS = (2 x 2) + (3 x 1) = 7 $\ne$ 17 = R.H.S.

-x + 2y = 8
Putting, x = 2 and y = 1 as solution.
LHS = (-1 x 2) + (2 x 1) = 0 $\ne$ 8 = R.H.S.

Hence, x = 2 and y = 1 is a solution of
2x + 5y = 9