# 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 ->  -> 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

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 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 = -76Found 2 solutions by jim_thompson5910, sunsetatdawn:Answer by jim_thompson5910(29613)   (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. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------------------- Answer by sunsetatdawn(4)   (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.