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.

How do I use a graph to solve the system of equations y=2x+1y=2x+1 and 2y=4x+22y=4x+2?