Can sumone help please!

Mathematics

1 answer:

balu736 [363]4 years ago

7 0

Thr answer is B) y= -4x + 48
since if you replace x with 2, you would get 40 when you solve the answer.

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Anuta_ua [19.1K]

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Answer:

(x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

$\left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}$

Substituting for y in the second equation, we can find x.

$\dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}$

The solution is (x, y) = (34/5, -4/5) = (6.8, -0.8).

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3 years ago

Anna, Ivan and Elena are running for class president. On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and

hodyreva [135]

Answer:

28%

Step-by-step explanation:

On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and Elena had 45% of the votes. You can take the number of total votes on Thursday equal to 100, then Anna had 20 votes, Ivan had 35 votes and Elena had 45 votes.

Let x be the number of votes added on Friday. All of them favored Elena, then Elena in total had 45+x votes and the number of all votes became 100+x. In the end Anna had 16%, then

100+x - 100%,

20 - 16%.

Write a proportion:

$\dfrac{100+x}{20}=\dfrac{100}{16},\\ \\16(100+x)=2000,\\ \\1600+16x=2000,\\ \\16x=400,\\ \\x=25.$