How do i create a word problem for systems of equations

To create a word problem for a system of equations, you need two different variables and two different equations related to those variables.  For example, if you have a sum of coins, nickels and dimes, and the number of coins is 35 and the total amount of coins is $2.10, then you would have two equations:  n + d = 35 and 0.05n + 0.10d = 2.10.

Step-by-step explanation:

System of equations involves the relationship between two quantities that can be expressed in different equations.  In both equations, the values of the variables will be the same.  In the example given above, if 'd' represents the number of dimes and 'n' represents the number of nickles, then we know the sum of the coins is 35, or d + n = 35.  We also know that the value of the number of dimes and nickels is equal to $2.10 or 0.05n + 0.10d = 2.10.  We can use the substitution method to solve for one of the variables and then use that expression to substitute into the second equation to solve.