To solve the system of equations, we can use the substitution method or elimination method.
Substitution Method:
From the first equation, we can solve for x in terms of y:
x = 4y + 6
Then substitute this expression for x in the second equation:
2(4y + 6) + 2y = 12
8y + 12 + 2y = 12
10y + 12 = 12
10y = 0
y = 0
Now, substitute y = 0 back into x = 4y + 6:
x = 4(0) + 6
x = 6
Therefore, the solution to the system of equations is x = 6, y = 0, which corresponds to the point (6, 0). The correct answer choice is:
(6, 0)
What is the solution to the following system of equations?
x − 4y = 6
2x + 2y = 12
(0, 10)
(10, 0)
(6, 0)
(0, 6)
1 answer