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a belt and a wallet cost $42.7 belts and 4 wallets cost $213.If the cost of a belt is $x and the cost of a wallet is $y, form two linear equations in x and y and solve them to find the cost of each item

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alexislopez792
Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15

Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

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