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Solve the system of equations. It the system has no so 8x-3y=17 12x+3y=28

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(9/4 ; 1/3)

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Given system of linear equations:

  • 8x - 3y = 17
  • 12x + 3y = 28

Solve it by elimination, add up the two equations:

  • 8x + 12x + 3y - 3y = 17 + 28
  • 20x = 45
  • x = 9/4

Find y by substituting the value of x:

  • 8*9/4 - 3y = 17
  • 18 - 3y = 17
  • 3y = 1
  • y = 1/3

So the system has one solution:

  • (9/4; 1/3)

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