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3 years ago

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What is the solution to this system? 3x+2y=45 4x+-y=5

1 answer:

hodyreva [135]3 years ago

5 0

(I) $3x + 2y = 45$

(II) $4x - y = 5$

Get $y$ alone in equation (II)

$4x - y = 5\\y = 4x - 5$

Insert new equation (II) in equation (I)

$3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5$

Insert $x = 5$ in equation (II)

$y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15$

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Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

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$\text{Price of the hat after clearance sale}=28.8-11.52$

$\text{Price of the hat after clearance sale}=17.28$

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

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