Algebra/Algebra

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Question
Age: 13
Grade: 8th grade

So I don't understand this, I'm doing systems of equations:


2x+5y-6=0


-2x+y-2=0



I figured out that the first equation's y-intercept will be a decimal, right? So how would you graph it to make both lines intercept at a point.

Answer
It only takes two points to plot a line.  For the first eq., if y=0, x=3 and if x=0, y= 6/5 so plot those points.  For the second eq., if y=0, x=-1 and if x=0, y=2.  Plot those and see where the lines intersect.   You can also solve the two equations simultaneously.   Just add the equations to get 6y-8= 0, so y=4/3.  put that in the first eq. and find x=-1/3

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