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Yahoo Answers: Answers and Comments for Need help finding interection given two equations? [Homework Help]



From rycexboi



Last Build Date: Sat, 11 Feb 2012 01:59:39 +0000

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From Fred B: I like how you explain every step of the solut...

Sat, 11 Feb 2012 10:42:08 +0000

I like how you explain every step of the solution Steven. It may seem obvious for some of us but most people don't see it right away as Jun did.



From Steven: Both equations represent a line that you can d...

Sat, 11 Feb 2012 10:33:03 +0000

Both equations represent a line that you can draw in a graph, where y is the vertical axis and x is the horizontal axis. If both lines are not parallel there must be ONE value for x and y where BOTH equations are correct and the lines intersect. In short, you have to solve this set of equations: 8x + 4y = 0 2x - 4y = 8 Both equations can be simplified, so: 2x + y = 0 x - 2y = 4 Write the second equation this way: x = 4 + 2y Replace this in the first equation: 2x + y = 0 2(4 + 2y) + y = 0 8 + 4y + y = 0 8 + 5y = 0 8 = -5y y = -8/5 Now find x: x = 4 + 2y x = 4 + 2(-8/5) = 4 - 16/5 = 20/5 - 16/5 = 4/5 So the answer is: x = 4/5 y = -8/5



From Jun Wang: 8x+4y=0 2x-4y=8 (8x+4y)+(2x-4y)=8+0 namel...

Sat, 11 Feb 2012 10:16:59 +0000

8x+4y=0 2x-4y=8 (8x+4y)+(2x-4y)=8+0 namely 10x=8, x=0.8 2x0.8-4y=8→4y=2x0.8-8=-6.4 y=-1.6 so x=0.8 y=-1.6