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  • 3x + y = 8
  • x + 3y = 6

Solve for y in the first equation.

  1. Subtract 3x from both sides.
  2. y = 8 - 3x
  3. Plug y into the second equation.

x + 3(8 - 3x) = 6

  1. Distribute 3 inside the parentheses.
  2. x + 24 - 9x = 6
  3. Combine like terms.
  4. -8x + 24 = 6
  5. Subtract 24 from both sides.
  6. -8x = -18
  7. Divide both sides by -8.
  8. x = 18/8 = 9/4
  9. Plug x into the first equation.

3(9/4) + y = 8

  1. Multiply 3 and 9/4.
  2. 6.75 + y = 8
  3. Subtract 6.75 from both sides.
  4. y = 1.25 = 5/4

Your answers are:

  • x = 9/4 or 2.25
  • y = 5/4 or 1.25

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