9. A preschool playground has both bicycles and tricycles. There is a total of 30 seats and 70 wheels. How many bicycles are there? How many tricycles are there?
Step 1 :Let the number of bicycles be x and the number of tricycles be y. We have two equations:
Step 2 :
Step 3 :
Step 4 :Solve the system of linear equations to find the values of x and y.
Step 5 :From the first equation, we get
Step 6 :Substitute this into the second equation:
Step 7 :Simplify the equation:
Step 8 :Combine like terms:
Step 9 :Solve for x:
Step 10 :Substitute the value of x back into the equation for y:
Step 11 :Solve for y:
Step 12 :