How do I use a graph to solve the system of equations #y=2x+1# and #2y=4x+2#?

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Answer 1 · 2015-07-09T21:18:05

You graph the equations and see where they intersect.

Your equations are

#y = 2x+1#
#2y = 4x +2#

Let's rearrange these to

(1) #y = 2x+1#
(2) #y = 1/2(4x+2) = 2x+1#

The two equations are identical.

You don't have to plot the graphs, because they coincide.

There is an infinite number of solutions.