maryoomsaggaf
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!!!!!!!!!!! 100 POINTS !!!!!!!!!!!!!!!!!!! ENSURE YOUR ANSWER IS CORRECT BEFORE POSTING !!!!!
How would you go about solving this? Please provide formulae, rules, explanation / working out . Thank you in advance!

100 POINTS ENSURE YOUR ANSWER IS CORRECT BEFORE POSTING How would you go about solving this Please provide formulae rules explanation working out Thank you in class=

Respuesta :

roohafzah

Answer :

  • x = 5
  • y = -2

Explanation :

by elimination method

  • 3x - 5y = 25 ...(1)
  • 4x + 3y = 14 ...(2)

multiply eq(1) by 4 and the latter one by 3

  • 12x - 20y = 100....(3)
  • 12x + 9y = 42 ...(4)

subtract eq(4) by eq(3)

  • -29y = 58

solve for y

  • y = 58/-29
  • y = -2

plug in the value of y in eq(1) and solve for x

  • 3x - 5*(-2) = 25
  • 3x + 10 = 25
  • 3x = 25 - 10
  • 3x = 15
  • x = 15/3
  • x = 5

check

plug in the value of x and y in any of the equations

  • 4x + 3y = 14
  • 4*5 + 3(-2) = 14
  • 20 - 6 = 14
  • 14 = 14
  • LHS = RHS

thus, the values of x and y are indeed 5 and -2.

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