Question

8a+x+8b=93

5x+4a+3b=85-2b-a

a+xb+xa+b=132

URGENT VA ROG!!!

Answer 1

   
[tex]\displaystyle\\ \text{Stiind ca a+b=11 determinati } ~x \in N\\\\ a)\\ 8a+x+8b=93\\ x + 8(a+b)=93\\ x + 8 \cdot 11 = 93\\ x + 88 = 03\\ c = 93 - 88 = \boxed{\bf 5}\\\\ b)\\ 5x+4a+3b=85-2b-a \\ 5x =85-2b-a -4a -3b\\ 5x = 85- 5a-5b\\ 5x = 85 - 5(a+b)\\ 5x = 85 - 5\cdot 11\\ 5x = 85 -55\\ 5x =30\\ x = \frac{30}{5}= \boxed{\bf 6}\\\\ c)\\ a+xb+xa+b=132 \\ x(a+b) + (a+b) = 132\\ 11x + 11 = 132\\ 11x = 132 - 11\\ 11x = 121\\ x= \frac{121}{11} =\boxed{\bf 11}[/tex]