SOLUTION: How do I graph the system below and write its solution? {y=(1/3)x + 3 {-2x + y = -2 I can also answer "No solution" or "Infinitely many" solutions

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Question 888645: How do I graph the system below and write its solution?
{y=(1/3)x + 3
{-2x + y = -2
I can also answer "No solution" or "Infinitely many" solutions
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
{y=(1/3)x + 3
{-2x + y = -2

Might be easier in slope-intercept form:
{ y=%281%2F3%29x%2B3, so has (0,3);
{ y=2x-2, so has (0,-2).
Use the slope to find other points on each line starting from its y-intercept. Vertical change divided by horizontal change is the meaning of slope.

graph%28300%2C300%2C-8%2C8%2C-8%2C8%2C%281%2F3%29x%2B3%2C2x-2%29

They appear to intersect and therefore have a solution at about (3,4). You can check the values to see if they satisfy both equations.