Question

Use the substitution method to solve the system of equations. choose the correct ordered pairs

-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)

Answer 1

c. (6, 0)

Explanation:

First, add y on both sides of the first equation, so it's easier to solve:

-x+y = 6

x+2y = 12

Then, add the 2 equations:

3y = 18

y = 6

Since c is the only one with a 6, we can deduce that the answer is c.

We can further check by plugging y back into the first equation:

-x+6 = 6

-x = 0

x = 0

This confirms that the answer is c.

I hope this helped.