Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem B. 4788. (April 2016)

B. 4788. Solve the following simultaneous equations on the set of real numbers:

$\displaystyle x^2+y^3 =x+1,$

$\displaystyle x^3+y^2 =y+1.$

Proposed by J. Szoldatics, Budapest

(4 pont)

Deadline expired on May 10, 2016.

### Statistics:

 114 students sent a solution. 4 points: 82 students. 3 points: 9 students. 2 points: 8 students. 1 point: 13 students. 0 point: 2 students.

Problems in Mathematics of KöMaL, April 2016