SOLUTION: the vertex of an angle is the point where the lines whose equations are y= 2x and y=x+1 meet. find the coordinates of the vertex.

Question 177354: the vertex of an angle is the point where the lines whose equations are y= 2x and y=x+1 meet. find the coordinates of the vertex.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
your equations are:
y = 2x
y = x+1
you want the value for x that satisfied both equations.
since they both equal y, you can set them equal to each other.
you get:
2x = x+1
you subtract x from both sides to get:
2x-x = 1
you factor out the x to get:
x*(2-1) = 1
you simplify to get:
x*1 = 1
which becomes:
x = 1
when x = 1, y = 2x becomes 2
when x = 1, y = x+1 becomes 2
when x = 1, y = 2 in both equations.
the vertex of the angle is at (1,2)
if graph both these lines, you will see that they intersect at the point (1,2) shown below:

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