anonymous
  • anonymous
Solve using the elimination method. If the system has an infinite number of solutions, use set builder notation to write the solution set. If the system has no solution, state this. x + 9y = 79 -7x + 9y = 23
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
eliminate y's by multiplying first equation by -1
anonymous
  • anonymous
-x - 9y = -79 would that be right for the first one?
anonymous
  • anonymous
GREAT!

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anonymous
  • anonymous
so you should get -8x=-56 right?
anonymous
  • anonymous
how do you get that?
anonymous
  • anonymous
so x=7 plug x into second eqn to get y
anonymous
  • anonymous
the ys cancel and you have -x + -8x and -79 + 23
anonymous
  • anonymous
sorry -x + -7x
anonymous
  • anonymous
oh okay. so you use it to both equations after you solve the first one?
anonymous
  • anonymous
you can pick one equation to plug back into to get the other variable...preferably the one you didn't alter
anonymous
  • anonymous
plug both x and y into both original equations to check
anonymous
  • anonymous
-7-9(8)=-79 -7-72=-79 -79=-79 TRUE
anonymous
  • anonymous
OK. So what do I do after I plug it into the second equation?
anonymous
  • anonymous
-7(7)+9(8)=23 -49+72=23 23=23 TRUE
anonymous
  • anonymous
solve for y then combine (x,y) for solution (7,8)
anonymous
  • anonymous
So, (7,8) would be the answer correct? That's what I got.
anonymous
  • anonymous
GREAT!!!!!
anonymous
  • anonymous
Thank you so much. How would I know if an equation has no solution or infinite solutions?
anonymous
  • anonymous
no solution would give you different numbers on each side of equal side such as -2=0 and infinite solutions would give you same number on each side like 5=5
anonymous
  • anonymous
parallel lines have no solution and same line have infinite solutions so if you put them in y=mx+b form and look at slope (m)-same for parallel
anonymous
  • anonymous
Ok. thanks
anonymous
  • anonymous
welcome...medal or fan me please :)

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