#### Answer

(2,0)

#### Work Step by Step

Our two systems of equations are:
1. 2x+y=4
2. 6x+7y=12
First lets multiply the first equation by 3.
We get:
1. 6x+3y=12
2. 6x+7y=12
Now lets subtract the second equation from the first equation.
-4y=0
Solve for y:
y=0
Now we know the y coordinate so lets plug that into the original, first equation to get the value of our x coordinate.
2x+(0)=4
Now simplify,
2x=4
Divided by 2 to isolate the variable and find what x equals
x=2.
So our answer is (2,0)