Hey I kinda need some help with this could u help?

Answer:
[tex]x = 13 ~~ \text{and}~~ y= 10[/tex]
Step-by-step explanation:
[tex]~~~~~~2.31 \times 10^x = 2200 \times 1.05 \times 10^y\\\\\implies 2.31 \times 10^x = 2310 \times 10^y\\\\\implies \dfrac{10^x}{10^y} = \dfrac{2310}{2.31}\\\\\implies 10^{x-y}=1000\\\\\implies 10^{x-y} = 10^3\\\\\implies x - y = 3[/tex]
[tex]\text{If x = 13 and y = 10 then the difference will be 3.}[/tex]