need help
x + 3y = 7
x - 3y = 1
Solve the system of equations.
A) x = 4, y = 1
B) x = 1, y = 4
C) x = -2/3, y = 3
D) x = 3, y = -2/3
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OpenStudy (heart_offire):
WAS
OpenStudy (mathmale):
Take a good look at the 2 equations given. I see a very easy way in which youi could solve this system. But first, what would YOU do?
OpenStudy (heart_offire):
maybe cancellation
OpenStudy (mathmale):
Yes. Add the 2 equations together. Please share your result.
OpenStudy (heart_offire):
after i cancel all i get is x=7 and x=1
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OpenStudy (mathmale):
I'd like to see your results, please (including all steps you took to combine these equations).
OpenStudy (mathmale):
x + 3y = 7
x - 3y = 1
You have to combine all terms, column by column. for example, combining the 2nd column results in 0 for that column. Please combine columns 1 and 3 now.
OpenStudy (heart_offire):
so 7 +1 =8
OpenStudy (heart_offire):
and that would be column 3
OpenStudy (heart_offire):
and column 1would just be x
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rebeccaxhawaii (rebeccaxhawaii):
it would be 2x=8
OpenStudy (mathmale):
"and column 1would just be x" Not so.
You end up with 2x=8.
Solve this for x.
Next, subst. your newly-found x-value into either of the given equations to find y.
Write your solution in the form (x, y).