Solve the following system of equations by graphing.
x + 2y = 4
2x + 4y = 8
What is the solution?
(4,2)
no solution
infinite solutions
none of the above
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OpenStudy (anonymous):
so its none of those
OpenStudy (anonymous):
?
OpenStudy (anonymous):
sorry would be (4,2)
jimthompson5910 (jim_thompson5910):
notice how everything in the 2nd equation is double of the numbers in the first equation
OpenStudy (anonymous):
its not (4,2) cause i had that before and i got it wrong
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OpenStudy (anonymous):
if you plug in 0 for x and then for y then you get 4,2
OpenStudy (anonymous):
but this is supposed to be solved by graphing..
OpenStudy (anonymous):
and i did get (4,2) and it is wrong
jimthompson5910 (jim_thompson5910):
(4,2) is a solution, but it's not the only solution
OpenStudy (anonymous):
so it should of been infinate solutions
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jimthompson5910 (jim_thompson5910):
yes, the reason being because the two equations are really the same equation
jimthompson5910 (jim_thompson5910):
the second is just the first (but everything is doubled)
OpenStudy (anonymous):
how so
OpenStudy (anonymous):
oh gotcha
jimthompson5910 (jim_thompson5910):
x + 2y = 4
2*x + 2*2y = 2*4
2x + 4y = 8
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OpenStudy (anonymous):
gotcha (:
OpenStudy (anonymous):
so hat other soultions will u get
OpenStudy (anonymous):
what ?
jimthompson5910 (jim_thompson5910):
anything that satisfies x+2y = 4
jimthompson5910 (jim_thompson5910):
so (0,2) is a solution
x+2y = 4
0+2*2 = 4
4 = 4
------------------------
(-2,3) is another solution
x+2y = 4
-2+2(3) = 4
-2+6 = 4
4 = 4
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