Question

Решите систему уравнений:
5( x-y ) = 2x + 26,
3( x-6y ) = 9y + 4.

Answer 1

$\displaystyle \left \{ {{5(x-y)=2x+26} \atop {3(x-6y)}=9y+4} \right. \\\\\left \{ {{x=\frac{26}{3}+\frac{5}{3}y } \atop {3(x-6y)=9y+4}} \right. \\\\3(\frac{26}{3}+\frac{5}{3}y-6y)=9y+4\\ \\y=1\\ \\x=\frac{26}{3}+\frac{5}{3}*1\\ \\x=\frac{31}{3}\\ \\(x,y)=(\frac{31}{3},1)$