anonymous
  • anonymous
solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Michele_Laino
  • Michele_Laino
hint: we can multiply the first equation by 5, so the new first equation is: 10x-25y=-35 next we can multiply the second equation by 2, so we get: 10x-6y=22 then we have this equivalent system: \[\Large \left\{ \begin{gathered} 10x - 25y = - 35 \hfill \\ 10x - 6y = 22 \hfill \\ \end{gathered} \right.\] now, please subtract the second equation, from the first one, what equation do you get?
anonymous
  • anonymous
10x-19y=-13
Michele_Laino
  • Michele_Laino
hint: if we do that subtraction, we can write this: \[\Large \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = - 35 - 22\] please simplify

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anonymous
  • anonymous
im confused im i supposed to subtract -35 and 22
Michele_Laino
  • Michele_Laino
yes!: -35-22=-57
Michele_Laino
  • Michele_Laino
now, please simplify the left side
anonymous
  • anonymous
25y and 6y = -31
Michele_Laino
  • Michele_Laino
hint: \[\Large \begin{gathered} \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = \hfill \\ \hfill \\ = 10x - 25y - 10x + 6y = ...? \hfill \\ \end{gathered} \]
anonymous
  • anonymous
-15-4=-19
Michele_Laino
  • Michele_Laino
what are -15 and -4 ?
anonymous
  • anonymous
you said 10x-25y
Michele_Laino
  • Michele_Laino
here is the right step: |dw:1440873623698:dw|
anonymous
  • anonymous
oooo
Michele_Laino
  • Michele_Laino
so we get this equation: \[\Large - 19y = - 57\] please solve for y
anonymous
  • anonymous
3
Michele_Laino
  • Michele_Laino
correct!
Michele_Laino
  • Michele_Laino
now, please replace y with 3 into the first equation of the original system, what do you get?
anonymous
  • anonymous
15
Michele_Laino
  • Michele_Laino
yes! and Iwe gaet the subsequent equation: \[\Large 2x - 15 = - 7\] please solve for x
Michele_Laino
  • Michele_Laino
we*
anonymous
  • anonymous
4
Michele_Laino
  • Michele_Laino
correct! so the solution of your system is: x=4 y=3
anonymous
  • anonymous
thank you for helping me i understand it now a little
Michele_Laino
  • Michele_Laino
:)

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