SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 3x + 7y = 77 -2x + 7y = 42

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 3x + 7y = 77 -2x + 7y = 42       Log On


   



Question 590202: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 7y = 77
-2x + 7y = 42

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +3x+%2B+7y+=+77+
(2) +-2x+%2B+7y+=+42+
Subtract (2) from (1)
(1) +3x+%2B+7y+=+77+
(2) +2x+-+7y+=+-42+
+5x+=+35+
+x+=+7+
Plug this back into (1) or (2)
(1) +3%2A7+%2B+7y+=+77+
(1) +21+%2B+7y+=+77+
(1) +7y+=+56+
(1) +y+=+8+
The solution is (7,8)
check:
(2) +-2%2A7+%2B+7%2A8+=+42+
(2) +-14+%2B+56+=+42+
(2) +42+=+42+ OK