Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
