anonymous
  • anonymous
solve the system by substitution 2x+y=-11 3x-4y=11 choices A.(3,5) B.(-5,-3) C.(-3,-5) D.(5,3)
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
C. try substituting the values in option C
anonymous
  • anonymous
okay what about solve the system using elimination 2x+6y=-12 5x-5y=10 choices A.(2,1) B.(0,-2) C.(-2,0) D.(1,2)
anonymous
  • anonymous
For elimination methosd, 2x+6y=-12 ---> (1) 5x-5y=10 --->(2) Let's make both eqn (1) and eqn (2) have 10x in them. to do so, multiply. So for (1), multiply by 5. it'll become 10x+30y=-60 ---> (3) for (2), multiply by 2. it'll become 10x-10y=20 --->(4)

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anonymous
  • anonymous
Then to eliminate 10x, take (3)-(4) so, 10x+30y-(10x-10y) = -60 - 20 40y=-80 y=-2 :) then sub y=-2 into (1) 2x+6(-2)=-12 2x=0 x=0 :)
anonymous
  • anonymous
do u understand?
anonymous
  • anonymous
okay so you jus make both equations have a common number in them
anonymous
  • anonymous
yes that's right
anonymous
  • anonymous
okay thanks!!
anonymous
  • anonymous
np
zpupster
  • zpupster
i was watching , i would like to comment on the first problem "solve using substitution.
anonymous
  • anonymous
what about it?
zpupster
  • zpupster
you do not just substitute given answers to see if it satisfies the equation you do it like this 2x+y=-11 3x-4y=11 first solve for a variable , y would be easiest because it is by itself in equation 1 y= -11 -2x subtracted 2x from both sides and then substitute that in for y in the 2nd equation like so: 3x- 4( -11 -2x) =11 and then solve
zpupster
  • zpupster
once you get an answer for x plug that back in to get y and do not forget to do your checks
anonymous
  • anonymous
do you mulitply -4 and -11 and -4 and -2x?
zpupster
  • zpupster
yes
anonymous
  • anonymous
okay so you get 3x-44-8x=11 do you combine like terms (the 3x and -8x)
zpupster
  • zpupster
-4 times -2x is positive
zpupster
  • zpupster
3x and 8x pay careful attention to your signs
anonymous
  • anonymous
so now i have 11x+44=11 subtract 44 from both sides and get 11x=-33
zpupster
  • zpupster
yes
anonymous
  • anonymous
now what
zpupster
  • zpupster
divide both sides by 11 to isolate x
anonymous
  • anonymous
x=-3
anonymous
  • anonymous
so the anwser is C
zpupster
  • zpupster
yes take that and plug it in on of the equations and solve for y
anonymous
  • anonymous
alright thanks for your help
zpupster
  • zpupster
yes good job!!!! remember to plug your x and y values in both equations as a check

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