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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

because they could drop even lower..