Question

Which ordered pair is the solution to the system of equations y = 3x - 12 and 4x - 6y = -6?

a. (3, -3)
b. (0, -12)
c. (6, -5)
d. (4, -7)

Answer 1

Substitute the values and check which ordered pair satisfies both equations.

Step-by-step explanation:

To find the ordered pair that is a solution to the system of equations, we can substitute the values of x and y into the equations and check if they satisfy both equations.

Let's start with option a, (3, -3):

For the first equation, y = 3x - 12, when x = 3, y = 3(3) - 12 = -3. So, (3, -3) satisfies the first equation.

For the second equation, 4x - 6y = -6, when x = 3 and y = -3, 4(3) - 6(-3) = 12 + 18 = 30. So, (3, -3) does not satisfy the second equation.

Therefore, option a is not the solution to the system of equations.

Similarly, you can check the other options to find the correct solution.