anonymous
  • anonymous
2x-y=5 9x-4y=25 Use the method of elimination to solve the system of linear equations
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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UnkleRhaukus
  • UnkleRhaukus
eliminate a variable by solving the first equation for y
UnkleRhaukus
  • UnkleRhaukus
y= ...
UnkleRhaukus
  • UnkleRhaukus
can you do that ? @Avon

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anonymous
  • anonymous
nope help me out @UnkleRhaukus
anonymous
  • anonymous
is it y=30
UnkleRhaukus
  • UnkleRhaukus
2x-y=5 2x-5=y y=2x-5
UnkleRhaukus
  • UnkleRhaukus
now substitute this into the second equation 9x-4y=25 9x-4(2x-5)=25 solve this for x
anonymous
  • anonymous
18x-8-20=25
anonymous
  • anonymous
@UnkleRhaukus
anonymous
  • anonymous
I can help you @Avon
anonymous
  • anonymous
Okay, so we want to use elimination right?
anonymous
  • anonymous
so take the first equation and multiply it by -4 because we want to eliminate the y terms. You get: -8x+4y= -20 9x-4y=25
anonymous
  • anonymous
okay. so add these together. 1x=-5 x=5
anonymous
  • anonymous
Now subsitute x into the second equation and solve for y. 9(5)-4y=25 45-4y=25 -4y=-20 y=5
anonymous
  • anonymous
Now we can check.. 2(5)-5=5 5=5 This one checks. 9(5)-4(5)=25 25=25 This one checks. (5,5) is your answer.
anonymous
  • anonymous
Hope that helps! @Avon
anonymous
  • anonymous
thanks @Atkinsoha
anonymous
  • anonymous
No problem! UnkleRhaukus was doing substitution. It will be the same answer, but this problem specifically said elimination.
anonymous
  • anonymous
U MADE IT EASY FOR ME @Atkinsoha
anonymous
  • anonymous
No problem! Glad I could help! :) Mention me in your problem if you need any more help :)
UnkleRhaukus
  • UnkleRhaukus
i got the words mixed up
anonymous
  • anonymous
It's alright @UnkleRhaukus It would have been the same answers!

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