Question 521136
If y=3x+5 and y=3x-2, then 3x+5 = 3x-2 ( I started with y=3x-2, then replaced 'y' with '3x+5' on the left side)


Solve this equation to get



3x+5=3x-2



3x=3x-2-5



3x-3x=-2-5



0x=-2-5



0x=-7



0=-7



Since this equation is <font size=4><b>NEVER</b></font> true for any x value, this means that there are no solutions.



So because there are no solutions for x, there are no solutions for y as well. Therefore, there are no points that lie on both lines at the same time.



So the two lines never intersect.


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