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Thepotemich [5.8K]
3 years ago
8

Given the system of equations, what is the solution? 5x - 4y = 7 x = 5 - 3/2 y

Mathematics
2 answers:
xenn [34]3 years ago
8 0
The answer is A


You can solve this by equation the two equations, by substitution method or elimination. Let's choose the substitution since Equation 2 has already X isolated
-take the X in equation 2 and substitute in the first equation
So, You should have 5 (5-3/2 y) -4y =7
Get y ( I'll assume you know how to simplify and find y by yourself )
y=36/23
-Now take y and substitute it in the first equation or the second equation (it doesn't really matter)
Substituting y in Equation 2:
x=5- 3/2 (36/23)
=> x= 61/23

So answer is A where (x,y) is (61/23, 36/23)
tester [92]3 years ago
8 0

Answer:

Option A is correct.

Step-by-step explanation:

Given system of equations are

5x - 4y = 7 ...............(1)

x = 5 - 3/2y .................(2)

value of x from equation (2), put in equation (1)

5(5-\frac{3}{2}y)-4y=7

25-\frac{15}{2}y-4y=7

-\frac{15}{2}y-\frac{8}{2}y=7-25

\frac{-15-8}{2}y=-18

\frac{-23}{2}y=-18

y=-18\times\frac{-2}{23}

y=\frac{36}{23}

Now, Value of x = 5-\frac{3}{2}\times\frac{36}{23}=5-\frac{54}{23}=\frac{115-54}{23}=\frac{61}{23}

Solution of given system is (\frac{61}{23},\frac{36}{23})

Therefore, Option A is correct.

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You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
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Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

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The radius of a circle is 9 centimeters what is the circles circumference
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Step-by-step explanation:

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It's A I hope that helps

Step-by-step explanation:

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