SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 6x – 4y = 19 24x - 16y = -76

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 6x – 4y = 19 24x - 16y = -76      Log On


   

Question 607867: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
6x – 4y = 19
24x - 16y = -76
Found 2 solutions by jim_thompson5910, sunsetatdawn:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the first equation by -4 to go from

6x – 4y = 19

to

-24x + 16y = -76


Now add this to the second equation


-24x + 16y = -76
+ 24x - 16y = -76
-----------------------------------
0x + 0y = 0

giving us 0 = 0

Since that last equation is ALWAYS true, this means that there are an infinite number of solutions.
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Answer by sunsetatdawn(4) About Me  (Show Source):
You can put this solution on YOUR website!
One slight problem with the previous solution given for this. -76 + -76 is not 0. It is -152. 0 is not equal to -152, meaning this has NO solution. If it were to end with 0=0, then the solution would have infinite solutions, but this is not the case here.