Difference between revisions of "1950 AHSME Problems/Problem 14"
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Something is clearly contradictory so <math>\boxed{\mathrm{(D)}\text{ There is no solution}.}</math> | Something is clearly contradictory so <math>\boxed{\mathrm{(D)}\text{ There is no solution}.}</math> | ||
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| + | Alternatively, note that the second equation is a multiple of the first except that the constants don't match up. So, there is no solution. | ||
==See Also== | ==See Also== | ||
Revision as of 15:51, 15 June 2013
Problem
For the simultaneous equations ![\[2x-3y=8\\6y-4x=9\]](http://latex.artofproblemsolving.com/6/6/7/66730d48698f6eb62fffbf547ca1fab388590cfb.png)
Solution
Try to solve this system of equations using the elimination method.
Something is clearly contradictory so 
Alternatively, note that the second equation is a multiple of the first except that the constants don't match up. So, there is no solution.
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
