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Sctve the system using any x+y=1.8 3x+y=1.4

User Doo Dah
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1 Answer

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Final answer:

To solve the given system of equations (x + y = 1.8, 3x + y = 1.4), the elimination method is used, resulting in the solution x = -0.2 and y = 2.0. The solution to the system is x = -0.2 and y = 2.0.

Step-by-step explanation:

The student is asking to solve a system of linear equations:

  • x + y = 1.8
  • 3x + y = 1.4

To solve the system, one approach would be to use the substitution or elimination method. Let's use the elimination method:

  1. Align the equations:
  2. x + y = 1.8 (Equation 1)
  3. 3x + y = 1.4 (Equation 2)
  4. Subtract Equation 1 from Equation 2:
  5. 3x + y - (x + y) = 1.4 - 1.8
  6. 2x = -0.4
  7. x = -0.2
  8. Substitute x into Equation 1 to find y:
  9. -0.2 + y = 1.8
  10. y = 2.0

The solution to the system is x = -0.2 and y = 2.0.

User Martijn Brouwer
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