Question

Which one could be a solution for the equation 3x + 4y = 2?

• A. (2,1)
• B. (-2,1)
• C. (2,-1)
• D. (2,2)

Answer 1

The correct option is C

(2,-1)

The solutions of a linear equation should satisfy the equation.

Substitute x = 2 and y = 1 in the given equation
3(2) + 4(1) = 10 $\ne$ 2 $\to$ its not a solution.

Substitute x = -2 and y = 1 in the given equation
3(-2) + 4(1) = -2 $\ne$ 2 $\to$ its not a solution.

Substitute x = 2 and y = -1 in the given equation
3(2) + 4(-1) = 2 = 2 $\to$ its a solution.

Substitute x = 2 and y = 2 in the given equation
3(2) + 4(2) = 14 $\ne$ 2 $\to$ its not a solution.