What is the value of the x variable in the solution to the following system of equations?

3x − 6y = 3
7x − 5y = −11

Question

What is the value of the x variable in the solution to the following system of equations?

3x − 6y = 3
7x − 5y = −11

hero · Answer

y = (3-3x)/-6
y = (11+7x)/5

y = y

-6(11+7x) = 5(3-3x)

-66 -42x = 15 - 15x

66+15 = -42x + 15x 

81 = 27x

81/27 = x

3 = x

anonymous · Answer

x-3

radar · Answer

I believe a check will reveal that x=-3.  Lets check.  If x=-3, then 3(-3)-6y=3 or -9-6y=3.  Solve for y. -6y=3+9 or -6y=12    then y=-2.  Using the values x=-3, and y=-2 substitute these values into the original equations.
3(-3)-6(-2)=3
-9+12=3
3=3 Check!
7(-3)-5(-2)=-11
-21+10=-11
-11=-11 Again a Check!

There is an error in somewhere, and I think it is a sign error.