A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item

A belt costs $15 and a wallet costs $27.

Step-by-step explanation:

Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:

x + y = $42

7x + 4y = $213

The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:

-4x - 4y = -168

7x + 4y = 213

Now, we simply add these two equations up:

-4x - 4y + 7x + 4y = -168 + 213

3x = 45

x = $15

Now, we plug in x into any of the two starting equations to find y:

x+y=42

15 + y = 42

y = $27

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