Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 8"
(Created page with "==Problem== Let <math>x</math> and <math>y</math> be real numbers that satisfy <cmath>(x+y)^2(20x+21y) = 12</cmath> (x+y)(20x+21y)^2 = 18.<math></math> Find <math>21x+20y</mat...") |
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| Line 2: | Line 2: | ||
Let <math>x</math> and <math>y</math> be real numbers that satisfy | Let <math>x</math> and <math>y</math> be real numbers that satisfy | ||
<cmath>(x+y)^2(20x+21y) = 12</cmath> | <cmath>(x+y)^2(20x+21y) = 12</cmath> | ||
| − | (x+y)(20x+21y)^2 = 18. | + | <cmath>(x+y)(20x+21y)^2 = 18.</cmath> |
Find <math>21x+20y</math>. | Find <math>21x+20y</math>. | ||
==Solution== | ==Solution== | ||
asdf | asdf | ||
Revision as of 15:06, 11 July 2021
Problem
Let 
and 
be real numbers that satisfy
![\[(x+y)^2(20x+21y) = 12\]](http://latex.artofproblemsolving.com/7/8/f/78f693cb7d70dc2ab468c46ec65dfa02a6894a28.png)
![\[(x+y)(20x+21y)^2 = 18.\]](http://latex.artofproblemsolving.com/5/1/a/51ade1fc90bda866ddcf52dd53182f1338a35a35.png)
Find 
.
Solution
asdf
