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OpenStudy (anonymous):
Which point is a solution of y = 3x and x + 2y = –21?
Select one:
a. (–3, –9)
b. (–9, –3)
c. (3, –9)
d. (–3, 9)
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OpenStudy (anonymous):
@AnswerMyQuestions
OpenStudy (anonymous):
Use the x-values in the choices and plug them into the first equation, y = 3x/
OpenStudy (igreen):
Just plug in 3x for 'y' in the 2nd equation:
x + 2y = -21
x + 2(3x) = -21
Can you simplify that? @boricua5
OpenStudy (anonymous):
So first, let's multiply -3 to it. -3 x 3 = ?
OpenStudy (anonymous):
@boricua5
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OpenStudy (igreen):
x + 2(3x) = -21
x + 6x = -21
7x = -21
Now we divide 7 to both sides, what's -21 / 7? @boricua5
OpenStudy (anonymous):
@AnswerMyQuestions : \[-3 \times 3=9\]
OpenStudy (anonymous):
@iGreen : -21 / 7 = -3
OpenStudy (igreen):
Yes, so the x-value is -3, so the answer is either A or D.
Now we can plug in x = -3 into any of the two equations.
y = 3x
y = 3(-3)
What's 3 * -3?
OpenStudy (igreen):
@boricua5
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OpenStudy (anonymous):
-9
OpenStudy (igreen):
Yep, so your answer is (-3, -9).
OpenStudy (anonymous):
thanks .
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