SOLUTION: To solve a system of three linear equations in three variables by the addition method. Solve by the addition method: 2y+z=7 2x-z=3 x-y=3

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Question 198303This question is from textbook Intemediate Algebra An Applied Approach
: To solve a system of three linear equations in three variables by the addition method. Solve by the addition method:
2y+z=7
2x-z=3
x-y=3 This question is from textbook Intemediate Algebra An Applied Approach

Answer by arallie(162) About Me  (Show Source):
You can put this solution on YOUR website!
2y%2Bz=7
2x-z=3
x-y=3
Add to remove "z"
2y%2Bz=7
2x-z=3
2x%2B2y=10
Simplify and Add to remove y
x%2By=5
x-y=3
2x=8
x=4
Substitute
4-y=3
y=1
Substitute
2%281%29%2Bz=7
2%2Bz=7
z=5
Check
2%284%29-%285%29=3
8-5=3
3=3
(4,1,5)