Question

use the elimination method to solve the system of equations. choose the correct ordered pair. 7x+3y=30 -2x+3y=3

Answer 1

Answer:

x = 3, y = 3

Step-by-step explanation:

Elimination method to find x:

  (7x + 3y = 30) * -1      ===>                              -7x - 3y = -30

                                                                          -2x + 3y = 3                    

  add two equations to eliminate y             ______________

                                                                                 -9x = -27     ===>   x = 3

substitution to find y:  

  -2x + 3y = 3

  -2(3) + 3y = 3

  -6 + 3y = 3

  3y = 9

    y = 3

Elimination method to find y:

  (7x + 3y = 30) * 2         ===>                           14x + 6y = 60

  (-2x + 3y = 3)  * 7         ===>                         -14x + 21y = 21

  add two equations to eliminate x             ______________

                                                                              27y = 81      ===>   y = 3