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PLEASE SOMEONE HELP ME!!!!! PLEASE THIS IS FOR MY TEST WHICH IS DUE AT 10:59PM!!!!

Julian makes and sells wallets. He estimates that his income can be modeled by y=18x−144 , where x is the number of wallets he sells. He estimates that his costs to make the wallets can be modeled by y=7x+164 . How many wallets does Julian need to make in order to break even?

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Answer:

Step-by-step explanation:

"to break even" means that the money he made and the money he spent was the same amount. In both equations, the x stands for the number of wallets. Basically, you need to solve the system of equations. They are both equal to y, so set them equal to each other:

18x - 144 = 7x + 164

Subtract 7x from both sides to get your x term only on one side of the equation

11x - 144 = 164

Add 144 to both sides

11x = 308 Divide both sides by 11

x = 28

This means Julian the wallet guy breaks even when he makes and sells 28 wallets. He doesn't make any money, but he also doesn't lose any money.

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