Difference between revisions of "2007 iTest Problems/Problem 22"
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== Solution == | == Solution == | ||
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| + | <math>2007|x-y|=c</math> must be one line; otherwise, the system would have four solutions. This occurs at <math>c=\boxed{0\ \text{(A)}}</math>. | ||
| + | |||
| + | ==See Also== | ||
| + | {{iTest box|year=2007|num-b=21|num-a=23}} | ||
| + | |||
| + | [[Category:Introductory Algebra Problems]] | ||
Latest revision as of 21:05, 10 January 2019
Problem
Find the value of 
such that the system of equations
![\[|x+y|=2007 \\ |x-y|=c\]](http://latex.artofproblemsolving.com/5/c/3/5c3051d63b3c3cbc3622f8c916eed4f42f47a66e.png)
has exactly two solutions 
in real numbers.
Solution
must be one line; otherwise, the system would have four solutions. This occurs at 
.
See Also
| 2007 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 21 |
Followed by: Problem 23 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4 | ||
