Difference between revisions of "1954 AHSME Problems/Problem 12"
Katzrockso (talk | contribs) (Created page with "== Problem 12== The solution of the equations <cmath>\begin{align*}2x-3y &=7 \\ 4x-6y &=20\end{align*}</cmath> is: <math>\textbf{(A)}\ x=18, y=12 \qquad \textbf{(B)}\ ...") |
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<math>2x-3y=7\implies 4x-6y=14</math> | <math>2x-3y=7\implies 4x-6y=14</math> | ||
| − | Then <math>4x-6y=14=20</math>, which is | + | Then <math>4x-6y=14=20</math>, which is false, so there are no solutions; <math>\fbox{C}</math> |
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{AHSME 50p box|year=1954|num-b=11|num-a=13}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Latest revision as of 19:42, 17 February 2020
Problem 12
The solution of the equations
is:
Solution
Then 
, which is false, so there are no solutions; 
See Also
| 1954 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
