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OpenStudy (anonymous):
How many solutions are there to the following system of equations?
5x + 3y = 7
2x – y = 2
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OpenStudy (anonymous):
A.1
B.0
C.2
D.infinitely many
OpenStudy (amoodarya):
multiply 2nd by 3
then sum with the first equation
simplify
then you have value of x
OpenStudy (anonymous):
2nd by 3?
OpenStudy (amoodarya):
yes multiply 2nd by 3
OpenStudy (anonymous):
the second equation by 3?
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OpenStudy (amoodarya):
3( 2x-y=2)
6x-3y=6
OpenStudy (amoodarya):
and now
1st +2nd = ?
OpenStudy (anonymous):
so the 2nd equation is now 6x-y=6?
OpenStudy (anonymous):
so I would get 12x-4y=12
OpenStudy (amoodarya):
5x + 3y = 7
6x -3y =6
sum of them is
11x=7+6
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OpenStudy (anonymous):
oh ok
OpenStudy (amoodarya):
so ?
OpenStudy (anonymous):
so x=1?
OpenStudy (anonymous):
wall its more x=1.6
OpenStudy (anonymous):
*well
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OpenStudy (amoodarya):
x=13/11
put x to one of equation so you got y
now you have one solution for the system of equation
OpenStudy (amoodarya):
do find out ?
OpenStudy (amoodarya):
sorry i meant
do you find out ?
OpenStudy (anonymous):
yes y=1?
OpenStudy (anonymous):
y=-5/3x+7/3
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OpenStudy (amoodarya):
no y=4/11
OpenStudy (amoodarya):
and x=13/11
OpenStudy (anonymous):
so the answer is D?
OpenStudy (anonymous):
infinitely many
OpenStudy (amoodarya):
no the system has 1 solution
it is (x=13/11 ,y=4/11)
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OpenStudy (anonymous):
thanks
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