yasmeen100
yasmeen100 yasmeen100
  • 17-04-2021
  • Mathematics
contestada

Solve the following problems using Elimination.

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8x - 5y =-18
2x + 5y = 58

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sqdancefan
sqdancefan sqdancefan
  • 17-04-2021

9514 1404 393

Answer:

  (x, y) = (4, 10)

Step-by-step explanation:

The coefficients of y are opposites, so the y-terms can be eliminated by adding the equations.

  (8x -5y) +(2x +5y) = (-18) +(58)

  10x = 40 . . . . . . simplify

  x = 4 . . . . . . . . . divide by 10

Substituting this into the second equation gives ...

  2(4) +5y = 58

  5y = 50 . . . . . . . . subtract 8

  y = 10 . . . . . . . . . .divide by 5

The solution is (x, y) = (4, 10).

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