Question

Which of these is a solution of 2x + 3y = 11?

• A. x = 1, y = 3
• B. x = 0, y = 5
• C. x = -2, y = -5
• D. (9,1)

Answer 1

The correct option is A

x = 1, y = 3

Putting each set of the values of x and y in the equation 2x + 3y = 11 we have:

x = 1, y = 3:
LHS = 2 x 1 + 3 x 3 = 11 = RHS

x = 0, y = 5:
LHS = 2 x 0 + 3 x 5 = 15 $\ne$ RHS

x = -2, y = -5:
LHS = 2 x -2 + 3 x -5 = -19 $\ne$ RHS

x = 9, y = 1:
LHS = 2 x 9 + 3 x 1 = $\ne$ RHS

$\therefore$ x = 1, y = 3 is solution to the given equation.