Algebra 2 m/c questions...check work

Samara

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Oct 29, 2007
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I was wondering if anyone could please take a look at my work? There are a few that I was unsure of and did not answer...could anyone please assist me?
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Hello, Samara!

In the first set, your first two solutions are absolutely correct . . . Nice work!


6. Which x-value satisfies the system below?

. . . . . \(\displaystyle \begin{array}{cccc}5x + 6y & = & -9 & [1]\\ -x - 8y &=& -5 & [2] \end{array}\)

\(\displaystyle a)\;\;3\qquad b)\;\;-3\qquad c)\;\;1\qquad d)\;\;-1\)


\(\displaystyle \begin{array}{cccc}\text{Multiply [1] by 4:} & 20x + 24y & = & -36 \\ \text{Multiply [2] by 3:} & -3x - 24y & = & -15 \\ \\ \text{Add:} & 17x &=& -51 \end{array}\)


\(\displaystyle \text{Therefore: }\;\boxed{x \:=\:-3}\)

 
Thank you very much! I think I remember doing this now...where did the multiply by 4 and 3 come from?...On the second page, the first few I did not understand (well, I think number 1 is two real roots, but I am unsure)
I think that 2 is C, I just used Quadjm on my calculator
I don't think I quite understand number 3, however
 
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