Joey collects soccer cards and baseball cards. He has a total of 142 cards. The
number of soccer cards, , is 10 more than twice the number of baseball cards,
b. Which system of equations below could be used to find out how many
soccer cards and baseball cards Joey has?

To solve this problem, let’s translate it into a system of equations. Given that Joey’s total number of cards is 142, we can represent this as . Additionally, since the number of soccer cards is 10 more than twice the number of baseball cards, we formulate the second equation as . Therefore, the system of equations is:

Now, you’re all set to solve for and and discover Joey’s prized collection!

When tackling systems of equations, a common mistake is not aligning the variables correctly. Always double-check your equations, and be sure to keep careful track of your mathematical signs, especially when distributing or combining like terms. It’s also beneficial to graph the equations for visual clarity; it’s a great way to confirm your solution!