hello
the initial principal in each account is unknown. we have a combined principal here and also a combined interest.
interest A + interest B = total interest
the rate in account A = 9%
the rate in account B = 7%
let x represent the amount of money invested in A
[tex]\begin{gathered} 0.09\times x+0.07\times(4300-x)=347 \\ 0.09x+301-0.07x=347 \\ 0.02x+301=347 \\ \text{0}.02x=347-301 \\ 0.02x=46 \\ \frac{0.02x}{0.02}=\frac{46}{0.02} \\ x=2300 \end{gathered}[/tex]the amount in the first account with an interest of 9% is $2300
now we can use this information to find the amount in the second account by simply subtracting $2300 from the sum total principal
the amount invested in both accounts which is $4300
[tex]\begin{gathered} y=4300-2300 \\ y=2000 \end{gathered}[/tex]the amount invested in both accounts are $2300 and $2000 respectively
