Identifying Systems of Linear Equations

Hard Heart Of Algebra Systems Of Linear Equations

In a small electronics shop, two devices are for sale: a tablet and a laptop. The price of the tablet is $50 less than the price of the laptop.

The shop sold a total of 20 devices in one week, with a total revenue of $5,600. If $x$ represents the price of the laptop and $y$ represents the price of the tablet, which of the following systems of equations correctly represents the relationships described?

$$y = x - 50$$ and $$20x + 20y = 5600$$

$$y = x - 50$$ and $$x + y = 280$$

$$y = x + 50$$ and $$xs + 20y = 5600$$

$$y = x - 50$$ and $$x + y = 560$$

Hint

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