Jill wants to solve the following system using the elimination method:
y = x + 8
y = 3x − 11
What number should the equation y = x + 8 be multiplied by to eliminate x?
−1
−2
−3
3
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OpenStudy (welshfella):
you need to chANGE THE X IN THE FIRST EQUATION TO -3X
OpenStudy (welshfella):
to do that you multiply the first equation by what?
OpenStudy (pumpkin1102):
idk I am so confused on this
OpenStudy (welshfella):
x times ___ = -3x
what goes in the blank space?
OpenStudy (pumpkin1102):
y?
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OpenStudy (welshfella):
no that would give you xy
OpenStudy (welshfella):
you need -3x
OpenStudy (pumpkin1102):
I have no idea
OpenStudy (welshfella):
x times 2 = 2x
x times 4 = 4x
x times -3 = -3x
OpenStudy (welshfella):
simple
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OpenStudy (pumpkin1102):
so basically the number without x?
OpenStudy (welshfella):
yes
OpenStudy (welshfella):
y = x + 8 * -3 is
-3y = -3x - 24
when you add this equation
to
y = 3x - 11
the terms in x disappear because -3x + 3x = 0
OpenStudy (pumpkin1102):
thx
OpenStudy (welshfella):
yw
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