Question

Solve the system of equations graphically. Write your answer as an ordered pair (x,y). 6x ‒ 3y = 12 y = x ‒ 2

Answer 1

The answer to the system of equation is (2,0)
6x - 3y = 12 --->> 3y = 6x - 12 -->> y = 2 x -4

y = 2x - 4
y = x - 2

In this case we subtract y = x - 2 from y = 2x - 4
So, it would be
y = 2x - 4
-(y = x - 2) --->> -y = -x +2

y = 2x - 4
-y = -x + 2
---------------
0 = x - 2
Now we add 2 to both sides to isolate x

So, x = 2
Now we replace x for two in both equations.

6(2) - 3y = 12
12 - 3y = 12 (I'm distributing)
-3y = 0
3y = 0
y = 0

Now the other equation

y = 2 -2
y = 0

So, the answer is (2,0)

I hope this helps.
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