Solve by the elimination method.

Question

6x-y=6

x+6y=38

 

A). ___ (Type an order pair.)

B).There are infinitely many solution.

C). No Solution 

Answer 1

To solve by eliminations you have to match the coefficient in equation 1 of either x or y with the coefficient of the 2nd equation of x or y. 

 

 

(1)

6x-y=6

(2)

x+6y=38, I will multiply this equation by 6

 

6(x+6y = 38)

6x +36y = 228, now take this equation and subtract it from the first

 

   6x-y=6                                                                                                                                      6

-(6x +36y = 228)                    ← If you don't see it, I'm just subtracting like I would whole number  -(6)

---------------------                                                                                                                        ---

 0x  - 37y = -222                                                                                                                           0

 

solve for y

 

y = 6 now you can plug this y into either equation (1) or (2) and solve for x

 

6x-6=6

 

6x = 12

 

x = 2

 

The answer is A. (2, 6)