Abank loaned out $30,000, part of it at the rate of 15% annual interest, and the rest at 10% annual interest. the total interest earned for both loans was $3,550.00. how much was loaned at each rate?

x represent the value loaned at 15% and y represent the value loaned at 10%.

and

Step-by-step explanation:

We are going to write a system of two linear equations. The first equation  will represent the total amount loaned.

Now the second equation are will represent the interest earned for both loans.

Then x represent the value loaned at 15% and y represent the value loaned at 10%. Now solving the equation system we have:

using this in the other equation to find y

With the value of y we can find x

can you complete your sentence? i could !