Question

3x + 2y = 13. 2x + 3y = 12. Determine the solution to the system and check your solution in both equations. Input the solution to the system, putting the solution in ordered pair (x, y) form.

Answer 1

3 x + 2 y = 13  / * 2 
2 x + 3 y = 12  / * (-3 )
----------------------------
  6 x + 4 y = 26
+
- 6 x - 9 y = -36
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         - 5 y = -10
              y = - 10 : ( - 5 ) = 2
  3 x + 4 = 13
  3 x = 9,       x = 3
  -------------------------
  1st equation:                          2nd equation:
  3 * 3 + 2 * 2 = 13                    2 * 3 + 3 * 2 = 12
  9 + 4 = 13 ( correct)                6 + 6 = 12 ( correct )
Answer:  ( x, y ) = ( 3, 2 )