SOLUTION: z –y = 30 z + y = 32 Column A: 2 -or- Column B: Y A. if the quantity in Column A is greater B. if the quantity in Column B is greater C. if the two quantities ar

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: z –y = 30 z + y = 32 Column A: 2 -or- Column B: Y A. if the quantity in Column A is greater B. if the quantity in Column B is greater C. if the two quantities ar      Log On

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Question 615604: z –y = 30
z + y = 32
Column A: 2 -or- Column B: Y
A. if the quantity in Column A is greater
B. if the quantity in Column B is greater
C. if the two quantities are equal
D. if it is impossible to determine which quantity is greater
Answer by KMST(1868) About Me  (Show Source):
You can put this solution on YOUR website!
The system of equations
system%28z-y+=+30%2Cz+%2B+y+=+32%29
can be solved in many different ways.
Since the value of y is needed, you do not need a full solution.
You need to get a way to answer the question as quickly as possible.
I would multiply the first equation times (-1),
getting -z%2By=-30 and I would add the second equation to that, getting
z%2By-z%2By=32-30 --> 2y=2 --> highlight%28y=1%29
So, the quantity in column B is 1, and since the quantity in column A is 2,
the quantity in column A is greater.