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6.02] and [6.03] Part 1: Solve the following system of equations. Please show your work to receive full credit. x - y = 16 2x + y = 2 Part 2: Explain which method you chose to solve the system and why you felt it was the best choice.
First: x = 16 - y 2x + y = 2 Then you take the value of x that you found ( 16 -y ) and replace it by x on the second equation: x = 16 - y 2(16-y) + y = 2 So x = 16 - y 32 - 2y + y = 2 And x = 16 - y -y = -30 => y = 30 Thus x = 16 - 30 = -14
This is a simple method of direct subsitution. You could use matrices, but due to its simplicity its not worth the effort.

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Oh my gosh thank you soooooooooooooooooooooooo much.!!
my bad. the first equation should read x = 16+ y. You can adjust acoordingly however, the rest of the maths are correct. The end result is y = -10, x = 6
hi kaylaaa add both the equations you'll get 3y=18 y=6 and now substitute back value of y in any one of the equation to get the value of x say , i choose 2nd one 2x=2-6 x=-2 y=6 :) the method i choose to solve is called elimination method where you try to reduce one of the variable by multiplying with some no., you can choose substitution and multiplication method also..:)
THank you so much.! (:

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