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Liula [17]
3 years ago
9

Solve the system of equations 6x+3y=12 and 5x+y=7

Mathematics
2 answers:
Levart [38]3 years ago
8 0
6x+3y = 12
Solving for x
3(2x+y)=12
2x+y=12/3
2x+y=4
2x=4-y
X=4-y/2
Talja [164]3 years ago
4 0

Answer:

x = 1; y = 2

Step-by-step explanation:

<u>To find x:</u>

Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.

Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get <u>x=1</u>.

<u>To find y:</u>

You can substitute 1 for x in either equation. I will use (5x+y=7).

Substitute the 1 for x: 5(1)+y=7

Simplify: 5+y=7

Put like terms on the same side by subtracting 5 from both sides: <u>y=2</u>

<u></u>

Check:

6(1) + 3(2) = 12

6 + 6 = 12

12 = 12 - this is right

5(1) + (2) = 7

5 + 2 = 7

7 = 7 - this is right

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3 years ago
An imaginary number has which of the following as a definition?
lyudmila [28]
Her is the definition of an imaginary number An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. Zero is considered to be both real and imaginary.
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Abigail and Bailey wash dogs to make extra money. Abigail can wash all of the dogs in 5 hours. Bailey can wash all the dogs in 3
aleksandr82 [10.1K]

Answer: The correct option is (b) 1\dfrac{7}{8}~\textup{hours}.

Step-by-step explanation:  Given that Abigail and Bailey wash dogs to make extra money. Abigail can wash all of the dogs in 5 hours and Bailey can wash all the dogs in 3 hours.

We are to find the time taken by them if they wash the dogs together.

Abigail can wash the dogs in 5 hours.

So, in 1 hour, the fraction of the dogs Abigail can wash is given by

\dfrac{1}{5}.

Bailey can wash the dogs in 3 hours.

So, in 1 hour, the fraction of the dogs Bailey can wash is given by

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Hence, if they work together, then the fraction of the dogs that they wash in 1 hour is given by

\dfrac{1}{5}+\dfrac{1}{3}=\dfrac{3+5}{15}=\dfrac{8}{15}.

Therefore, the time taken by them to wash the dogs if they work together will be

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Thus, option (b) is correct.

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