What is the value of the x variable in the solution to the following system of equations?
2x − 3y = 3
5x − 4y = 4
−1
0
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system
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OpenStudy (anonymous):
think again with me!!
OpenStudy (anonymous):
you need to eliminate either x or y
OpenStudy (anonymous):
this is so hard i am so not good at this type of math ... it looks like they should both be canceled out
OpenStudy (anonymous):
ok! multiply the first equation by -5 and the second one by 2 what do u get?
OpenStudy (anonymous):
doing the math
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OpenStudy (anonymous):
add the two after you multiply
OpenStudy (anonymous):
0?
OpenStudy (anonymous):
no wait -1? -7 divided by 7 is negative one?
OpenStudy (anonymous):
good
OpenStudy (anonymous):
so i was correct?
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OpenStudy (anonymous):
with -1
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
find x now
OpenStudy (anonymous):
i thought that was what i was looking for
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OpenStudy (anonymous):
y=-1
x=0
OpenStudy (anonymous):
here we need to find x not y! so the correct answer is 0
OpenStudy (anonymous):
to find x directly multiply equation 1 by -4 and equation 2 by 3 then add them
OpenStudy (campbell_st):
given your equations
2x - 3y = 3 (1)
5x - 4y = 4 (2)
multiply equation (1) by 4 and equation 2 by (-3) and add the equations to eliminate y
8x - 12y = 12
-15x + 12y = -12
-----------------
-7x = 0
therefore x = 0