4. What is the solution of the system?
y = −3x
3x + 2y = 6(1 point)
(2, 6)
(−1, 3)
(−2, 6)
(1.5, −4.5)
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OpenStudy (jdoe0001):
y = −3x <----- notice what "y" equals to, so use that and substitute in the 2nd one
3x + 2y = 6
what would that look like?
OpenStudy (love10129151):
you look at three
OpenStudy (jdoe0001):
at three?
OpenStudy (love10129151):
no
OpenStudy (love10129151):
or yes
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OpenStudy (jdoe0001):
what do you mean?
OpenStudy (love10129151):
you look at three or no
OpenStudy (jdoe0001):
\(\bf y = −3x\\
3x + 2y = 6\qquad \textit{substituting "y" in the 2nd one}\\ \quad \\
\color{red}{y} = -3x\quad thus \quad 3x + 2y = 6\implies 3x + 2(\color{red}{-3x}) = 6\)
so solving for "x", what would you get?
OpenStudy (love10129151):
ooo ok
OpenStudy (love10129151):
so the answer is ...........
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OpenStudy (jdoe0001):
... what did you get for "x" ?
OpenStudy (love10129151):
so x is 2
OpenStudy (love10129151):
i am i right or no
OpenStudy (jdoe0001):
well \(\bf 3x+2(-3x)=6\implies 3x-6x=6\implies -3x=6\implies x=\cfrac{6}{-3}\\ \quad \\
x=-2\)
thus what's "y"? well, we know that y = -3x, so since x = -2, then
y = -3(-2)
OpenStudy (love10129151):
so its (-2,6)
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