Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 - 250x and the value of the car after x months is represented by y = 8,000 - 50x. Which statement describes when Melinda's loan will be equal to the value of the car?

Answer: Melinda's loan will be equal to the value of the car after 10 months.

Step-by-step explanation:

Hi, to answer this question we have to equal both equations:

Melinda's loan will be equal to the value of the car

y = y

10,000 - 250x = 8,000 - 50x

Solving for x:

10,000-8,000 = - 50x+250x

2,000 = 200x

2,000/200 = x

10 = x

Melinda's loan will be equal to the value of the car after 10 months.

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