SOLUTION: Solve the system by graphing. 3x + y = 6 3x – y = 0

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Question 29202: Solve the system by graphing.
3x + y = 6
3x – y = 0

Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
For the first equation 3x%2By=6 set x=0 and:
3%280%29%2By=6
y=6 so plot (0,6)
Then set y=0 and:
3x%2B0=6
3x=6
x=2 and plot (2,0) Draw a line through (0,6) and(2,0)
Do the same thing for the other equation 3x-y=0, setting x & y equal to 0. Unfortunately, you'll find that point (0,0) is a point on this line. So you'll need to convert the equation into point-slope form. Rewritting as:
3x-y=0subtract 3x from both sides:
-y=-3x Multiply both sides by -1.
y=3x So you graph a line with a y-intercept and a slope of 3.
When you're done it should look like:
graph%28300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+6-3x%2C+3x%29
Now look to where they intersect, it looks like point (1,3) so the answer to the equation is: x=1, y=3...
Check:
3x%2By=6
3%281%29%2B3=6 Check.
3x-y=0
3%281%29-3=0 Check.