Aaron needs to take out a loan to purchase a motorcycle. at one bank, he would pay $2500 initially and $150 each month for the loan. at another bank, he would pay $3000 initially and $125 each month. after how many months will the loan payments be the same?

20 months

Step-by-step explanation:

Let x represent the number of months.

We have been given that at one bank, Aaron would pay $2500 initially and $150 each month for the loan. So amount paid in x months would be .

We are also told that at another bank, Aaron would pay $3000 initially and $125 each month for the loan. So amount paid in x months would be .

To find the number of months when both loan payments will be the same, we will equate both expressions as:

Therefore, after 20 months both loan payments would be the same.

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system