SOLUTION: Solve using the elimination method: If a system has an infinite number of solutions, use set- builder notation to write the solution set. If a system has no solution sates this:

Algebra ->  Linear-equations -> SOLUTION: Solve using the elimination method: If a system has an infinite number of solutions, use set- builder notation to write the solution set. If a system has no solution sates this:       Log On


   



Question 309350: Solve using the elimination method:
If a system has an infinite number of solutions, use set- builder notation to write the solution set. If a system has no solution sates this:
5x-3y=8
-5x+y=4
Please show me how you came up with the answer?
Thank you!!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add the two equations together to eliminate x. Solve for y, then go back and solve for x.
5x-3y%2B%28-5x%2By%29=8%2B4
-2y=12
highlight_green%28+y=-6+%29
Then use either equation to solve for x.
5x-3y=8
5x-3%28-6%29=8
5x%2B18=8
5x=-10
highlight_green%28+x=-2%29