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Darina [25.2K]
3 years ago
10

By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20​

Mathematics
2 answers:
Sauron [17]3 years ago
8 0

Answer:

Copied text is stored in the clipboard for 1 hour.

Pavel [41]3 years ago
5 0
3x+4y+5z=18,2x−y+8z=13,5x−2y+7z=20 D= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−7+16)−4(14−40)+5(−4+5) =3(9)−4(−26)+5(1)=27+104+5=136 D 1 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 18 13 20 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =18(−7+16)−4(91−160)+5(−26+20) =18(9)−4(−69)+5(−6)=162+276−30=408 D 2 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 18 13 20 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(91−160)−18(14−40)+5(40−65) =3(−69)−18(−26)+5(−25)=−207+468−125=136 D 3 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 18 13 20 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−20+26)−4(40−65)+18(−4+5) =3(6)−4(−25)+18(1)=18+100+18=136 Now, x= D D 1 = 136 408 =3 y= D D 2 = 136 136 =1 z= D D 3 = 136 136 =1 Hence, the solution for the system is (3,1,1).
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First, there are many ways to divide a whole number by a fraction. In my way, I take acknowledgment to the rules. There are other ways to do this, like the reciprocal way. To first get started, I'm going to give you the rule which is: (a ÷ b/c = a × c/b). We can now replace our numbers in the variables place.
12 \times  \frac{4}{3}

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\frac{48}{3}

Third, this is where long division comes in handy. I can't exactly do it on a website, but I am going to try. It is best if done on a piece of paper.

\Mydiv3{%
$\strut#$\kern.25em\smash{\raise.3ex\hbox{$\big)$}}$\mkern-8mu
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Answer: \fbox {16}
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3 years ago
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