SOLUTION: I'm having trouble understanding the graphing... Find three integer or decimal solutions to the following equation, then graph the solution set. 4x-5y=20 When I submitted m

Algebra ->  Linear-equations -> SOLUTION: I'm having trouble understanding the graphing... Find three integer or decimal solutions to the following equation, then graph the solution set. 4x-5y=20 When I submitted m      Log On


   



Question 957304: I'm having trouble understanding the graphing...
Find three integer or decimal solutions to the following equation, then graph the solution set.
4x-5y=20
When I submitted my answers I wasn't even close to the answers that were being requested! It was requesting (104, 105), (101, 96), (200, 300)?? Help Please! Thanks!

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find three integer or decimal solutions to the following equation, then graph the solution set.
4x-5y=20
When I submitted my answers I wasn't even close to the answers that were being requested! It was requesting (104, 105), (101, 96), (200, 300)??
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What points did you find?
None of those 3 are solutions.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find three integer or decimal solutions to the following equation, then graph the solution set.
to do so, you need to choose three values for x and calculate y to find points that lie on this line, plot points and draw a line through
4x-5y=20....first solve for y
4x-20=5y
4x%2F5-20%2F5=y
y=%284%2F5%29x-4

now we can choose ANY number for x: I would like 0,5,and -5
y=%284%2F5%29x-4 if x=0
y=%284%2F5%290-4
y=-4
so, first point is (0,-4) which is y-intercept
y=%284%2F5%29x-4 if x=5
y=%284%2F5%295-4
y=%284%2Fcross%285%29%29cross%285%29-4
y=4-4
y=0

second point is (5,0) which is x-intercept

y=%284%2F5%29x-4 if x=-5
y=%284%2F5%29%28-5%29-4
y=%284%2Fcross%285%29%29cross%285%29-4
y=-4-4
y=-8

second point is (-5,-8)
now we can plot points:

then draw a line:



if requesting (104, 105), (101, 96), (200, 300) then I can check if these points lie on given line
y=%284%2F5%29x-4 if x=104
y=%284%2F5%29104-4
y=416%2F5-4
y=79.2....so, (104, 105) is not solution for given equation
check it ones again with 4x-20=5y
4%2A104-20=5%2A105
416-20=525
396%3C%3E525
check second point (101, 96)
4%2A101-20=5%2A96
404-20=480
384%3C%3E480
and third point (200, 300)
4%2A200-20=5%2A300
800-20=1500
780%3C%3E1500
so, these points do NOT lie on a line 4x-20=5y
see it on a graph: