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miskamm [114]
3 years ago
5

100 POINTS!!!! PLEASE HELP ASAP!!! EXPLANATION WOULD BE GREATLY APPRECIATED!

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

Answer:

1) B- Substitution

2) C- Elimination

3) A- Graphing

Step-by-step explanation:

1)

x+3y=7

5x+11y=3

x = 7 - 3y

Plug this x into the second equation and solve for y first

2)

5x-3y=3 --> (1)

2x+7y=6 --> (2)

Since making any variable the subject would involve fractions, it's better to go for elimination

7(1) + 3(2)

would eliminate y

3)

While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front

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Use geometric series to find the fraction of 0.8967898989
Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

x=0.8967\overline89\implies10^4x=8967.\overline{89}

Then

10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}

10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)

10^4x=8967+\dfrac{89}{99}

x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}

x=\dfrac{443911}{495000}

###

An arguably quicker way without using geometric series:

10^4x=8967.\overline{89}

10^6x=896789.\overline{89}

10^6x-10^4x=887822

x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}

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