Question

Determine whether the given ordered pair is a solution to the system of equations.

9x - y = 4
x + 4y = 2
Ordered pair: (4, 0)
O Yes, it is a solution.
O No, it is not a solution.

Show your work and explain how you arrived at your answer.

Answer 1

The ordered pair (4, 0) is not a solution to the system of equations because when substituted into both equations, it does not satisfy either of them.

Step-by-step explanation:

To determine whether the ordered pair (4, 0) is a solution to the system of equations:

• 9x - y = 4
• x + 4y = 2

We substitute x = 4 and y = 0 into both equations.

For the first equation, 9(4) - 0 = 4:

• (9 × 4) - 0 = 36, which is not equal to 4.

For the second equation, 4 + 4(0) = 2:

• (4) + (4 × 0) = 4, which is not equal to 2.

Since (4, 0) does not satisfy both equations, it is not a solution to the system of equations.