Ellason wants to solve the following system using the elimination method:
5x + 2y = 30
x + y = 8
What number should the equation x + y = 8 be multiplied by to eliminate y?
2
−2
5
−5
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OpenStudy (pumpkin1102):
IK it isn't C.5
OpenStudy (phi):
if you have 2y and you want 0 of them , how many y's do you take away ?
OpenStudy (pumpkin1102):
-2
OpenStudy (phi):
yes, you would want to add -2y to the +2y
OpenStudy (pumpkin1102):
wait so that's the answer?
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OpenStudy (phi):
the question is how do you get the y in the bottom equation to have a -2y ?
what number would you multiply by to make y into -2y ?
OpenStudy (pumpkin1102):
idk
OpenStudy (phi):
1*y = 1y
2*y is 2y
3*y is 3 y
what * y is -2y ?
OpenStudy (pumpkin1102):
-2
OpenStudy (phi):
yes, -2 times y is -2y
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OpenStudy (phi):
and if you add the two equations , the 2y in the top plus the -2y in the bottom
is 2y's take away 2 y's and that makes 0 y's
i.e. the y is eliminated