A system of equations is shown
Y = 2x + 2
Y = 4x - 4
Which ordered pair is a solution to the system of equations?
(2, 4)
(3, 8)
(4, 10)
(6, -2)
To find the solution, we need to find the ordered pair (x, y) that satisfies both equations.
First, we substitute y in the first equation with 4x - 4(the second equation).
2x + 2 = 4x - 4
Subtract 2x from both sides:
2 = 2x - 4
Add 4 to both sides:
6 = 2x
Divide both sides by 2:
x = 3
Now substitute this value of x into one of the original equations (either one) to find y.
Using the first equation:
y = 2(3) + 2
y = 6 + 2
y = 8
So, the ordered pair (3, 8) is the solution to the system of equations.
Answer: (3, 8)