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steelturbotowel
steelturbotowel steelturbotowel
  • 12-01-2017
  • Mathematics
Answered

solve the system of equations using elimination:

x+4y-5x=-7

3x+2y+3z=7

2x+y+5z=8

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 13-01-2017

Using elimination: add equation 1 and equation 3 to
eliminate z

x+4y-5z=-7

2x+y+5z=8



will
result to


3x +
5y = 1



Using
eqution 2 and 1.

3( x+4y-5z=-7) >> 3x
+12y – 15z = -21


5(3x+2y+3z=7) >> 15x

  • 10y + 15z = 35



Add the
two equation, to eliminate z


18x +
22y = 14



Solving
x and y from the generated equation


X = 2


Y =
-1

T
hen
substitute x and y yo any equation and solve for z


Z = 1

 

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