Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 10y = -34

16x – 5y = -43

Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 10y = -34

16x – 5y = -43

anonymous · Answer

8x+10y=-34
16x-5y=-43

(1) 8x+10y=-34
  (2) 16x-5y=-43

    8x+10y=-34
+ 32x-10y=-86
------------------
   40x=-120
   ---   -----
    40      40

    x = -3

8x + 10y = -34
8(-3) + 10y = -34
-24 + 10y = -34
10y = -34+24
10y = 10
---    ---
 10     10

 y = 1

 x = -3 ; y = 1