Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair.
6x + 2y = 8
12x+y = 22
A. (4-4)
B. (2-2)
C. (-1,1)
D. (-3, 3)

Answer 1

To solve the given system of equations using elimination, we multiply the second equation by 2 and subtract the first equation to find x=2. Then, we substitute x into one of the original equations to find y=-2. The ordered pair that solves the system is (2, -2).

Step-by-step explanation:

To solve the system of equations using the elimination method, we need to manipulate the equations to eliminate one variable and solve for the other. We have the following two equations:

• 6x + 2y = 8
• 12x + y = 22

Let's multiply the second equation by 2 to align the coefficient of y with the first equation:

• 24x + 2y = 44

Now, we subtract the first equation from this new equation:

• (24x + 2y) − (6x + 2y) = 44 − 8
• 24x + 2y - 6x - 2y = 36
• 18x = 36
• x = 36 / 18
• x = 2

Using the value of x to solve for y in the second original equation:

• 12x + y = 22
• 12(2) + y = 22
• 24 + y = 22
• y = 22 - 24
• y = -2

Therefore, the correct ordered pair is (2, -2), which corresponds to option B.