What is the intersection of lines for the two equations y+3x=1 and y-6=2x?

Step-by-step explanation:

Let's reformat both equations so that is by itself on each side:

Since we isolated to one side in both equations, we know the right-hand sides must be equal:

Solving for will give us the x-coordinate of the point of intersection:

Plugging in this x-coordinate to either of the above equations will give us the y-coordinate of the point of intersection:

Therefore, the point of intersection is

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