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laiz [17]
3 years ago
14

Solve the system by substitution. y = 7x – 20 y = 2x

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

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We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

\text{Profit=}(24x)(8)-(5x)(30)\\\text{Profit=}192x-150x\\\text{Profit=}42x\\

We can set this equal to the given profit to figure out the value of x first.

42x=84\Rightarrow x=2

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