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Katarina [22]
3 years ago
5

In a classroom of 33

Mathematics
1 answer:
amid [387]3 years ago
5 0
Answer: 9 boys
Explanation:
3/11= x/33
11x= 99
x=9
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Determine the equivalent system for the given system of equations.<br> 4x - 5y = 2<br> 3x - y = 8
Black_prince [1.1K]

Solving the system of equations we get solution set (38/11,26/11)

Step-by-step explanation:

We need to solve the system of equations:

4x - 5y = 2\\3x - y = 8

Let:

4x - 5y = 2\,\,\,eq(1)\\3x - y = 8\,\,\,eq(2)

Multiply equation 2 with 5 and subtract both equations to find value of x:

4x - 5y = 2\\15x - 5y = 40\\-\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-11x=-38\\x=\frac{-38}{-11}\\x=\frac{38}{11}

So, value of x = 38/11

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Putting value of x in equation 2

3x-y=8\\3(\frac{38}{11})-y=8\\\frac{114}{11}-y=8\\-y=8-\frac{114}{11}\\-y=\frac{8*11-114}{11}\\-y=\frac{88-114}{11}\\-y=\frac{-26}{11}\\y=\frac{26}{11}

So, value of y = 26/11

So, Solving the system of equations we get solution set (38/11,26/11)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
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