How Do You Solve By Elimination Method? 4x-3y=25 4y=2-2x


Answer:
Start by putting the two equations in standard form.
  4x - 3y = 25
  2x + 4y = 2    (this equation could be reduced to x+2y = 1)

To eliminate x, subtract 2 times the second equation from the first. This choice is determined by the coefficients of x.
  (4x - 3y) - 2(2x + 4y) = (25) - 2(2)
  -11y = 21
  y = -21/11

To eliminate y, attach 3 times the second equation to 4 times the first. This is determined by the coefficients of y.
  4(4x - 3y) + 3(2x + 4y) = 4(25) + 3(2)
  22x = 106
  x = 53/11

The solution by elimination is (x, y) = (53/11, -21/11)

Check
  4(53/11) - 3(-21/11) = 25
  (212 + 63)/11 = 25
  275/11 = 25    (yes)

  4(-21/11) = 2 - 2(53/11)
  -84/11 = (22 - 106)/11
  -84/11 = -84/11    (yes)

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