Ian is borrowing $1000 from his parents to buy a notebook computer. he plans to pay them back at the rate of $60 per month. ken is borrowing $600 from his parents to purchase a snowboard. he plans to pay his parents back at the rate of $20 per month. write a system equations that can be used to determine after how many months the boys will owe the same amount.

In mathematics, a system of equations, also known as a system of simultaneous or systems of equations, is a finite system of equations for which we have sought common solutions. A system of equations can be classified in a similar way to simple equations. A system of equations finds application in our everyday life in modeling problems where unknown values can be represented in the form of variables.

In algebra, a system of equations contains two or more equations and looks for common solutions to the equations. "A system of linear equations is a set of equations that are satisfied by the same set of variables."

We need to find a system equations that can be used to determine after how many months the boys will owe the same amount

Let lan take x months to pay $ 1000 to his parents

In 1 month Ian pays $60

In x months Ian pays =

60 x= $ 1000

Let Ken take y months to pay $ 600 to his parents

In 1 month Ian pays $20

In y months Ian pays =

20 y= $ 600

Hence 60 x= $ 1000 and 20 y= $ 600 are the system of equations

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