1. Kaylaaa

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.

2. soati

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

3. soati

This is a simple method of direct subsitution. You could use matrices, but due to its simplicity its not worth the effort.

4. Kaylaaa

Oh my gosh thank you soooooooooooooooooooooooo much.!!

5. soati

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..:)

7. Kaylaaa

THank you so much.! (: