SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 6x + y = 46 6x – y = 38

Algebra ->  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. 6x + y = 46 6x – y = 38       Log On


   



Question 429848:
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
6x + y = 46
6x – y = 38

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6x+y=46 .............1
6x-y=38 .............2
Eliminate y
6 x y = 46
6 x - y = 38
Add the two equations
12 x = 84
/ 12
x = 7
plug value of x in (1)
6 x + 1 y = 46
42 + 1 y = 46
1 y = 46 + -42
1 y = 4
y = 4
(7,4) is the solution