Y=2x-1
2x + 6y = 11
Here's what i'd do. I like to use Linear Equations(elimination) instead of substitution method because its easier for me.
Y=2x-1 ----> (-2x+y=-1) make it so both the variables are on the same side.
+(2x+6y=11) now they are both in the same form. you now add them together to get rid of one variable. = 7y=10
now you can solve for y by dividing both sides by seven.
Y=10/7
Then you put Y back into the original equation to solve for X
10/7 = 2x - 1 (add one to both sides)
17/7 = 2x (divide by two)
17/14 = X
and 10/7=2(17/14) -1
10/7= 34/14 -1
10/7= 17/7 -1
10/7= 10/7
so... its right
This system of equations is consistent (consistent means that a set of equations has at least one answer)
They are not parallel because they intersect.
They are not coinciding because there is not more than one answer.(i think thats what it means. correct me if i'm wrong)
So there is one answer. (thats what your other choice was right?)
And you put the X and Y that we solved for in as your point of intersection.
So your point of intersection is (17/14 , 10/7)
I think thats all you needed. Re-post if we missed anything.