Daisy invests a total of $12900 in two accounts. One account pays 9% annual interest and the other pays 8% annual interest. If the total annual interest from both accounts is $1103, how much was invested in each account? Suppose x is the amount invested at 9% and y is the amount invested at 8%. Find an answer question above using a system of linear equations of x and y. List the equations in that system.

The equations:

the value for x and y:

Step-by-step explanation:

invest amount = 12900

let x = amount put into the first account

let y = amount put into the second account

we know the sum of of  both is 12900, thus

We also know the sum of their annual interest rate is 1103

Thus the equations needed are

and

To find the values for x and you know have all equations you need

we need to get this equation to a single variable

we can do this using x or y, lets use x

we know

, so

lets plug into

1161 - .09y + .08y = 1103

-.01y = -58

y = 5800

we can get x from this equation from above

i not know

step-by-step explanation: