Question

Which of the following is the solution of the equation 5x - 4y = 1?

• A. (2, 3)
• B. (1, 1)
• C. (-1, 2)
• D. (3, -1)

Answer 1

The correct option is B (1, 1)

Given: 5x - 4y = 1
We know that solution of an equation satisfies the equation.

For option (1)
x = 2 and y = 3
5(2) - 4(3) = 1
10 - 12 = 1
-2 $\ne$ 1

For option (2)
x = 1 and y =1
5(1) - 4(1) = 1
5 - 4 = 1
1 = 1

For option (3)
x = -1 and y = 2
5(-1) - 4(2) = 1
-5 - 8 = 1
-13 $\ne$ 1

For option (4)
x = 3 and y = -1
5(3) -4(-1) = 1
15 + 4 = 1
19 $\ne$ 1

So, (1, 1) is the solution of the equation.