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12 September, 06:27

write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the answer.

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Answers (2)
  1. 12 September, 09:22
    0
    The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers

    here

    the other number = x + 9

    Let the number be x.

    Sum of two numbers = 25

    According to question, x + x + 9 = 25

    ⇒ 2x + 9 = 25

    ⇒ 2x = 25 - 9

    ⇒ 2x = 16

    ⇒ 2x/2 = 16/2

    ⇒ x = 8

    Therefore, x + 9 = 8 + 9 = 17

    Therefore, the two numbers are 8 and 17.
  2. 12 September, 09:31
    0
    Fritz wants to get a job to save up money for college, he has two options:

    Mr. Smith's Bakery or Samantha's Ice Cream Shop

    Mr. Smith's Bakery is close to Fritz's house so he can walk to it, it pays $8.00 per hour. Samantha's Ice Cream Shop is a bit farther away so Fritz has to pay $4 for bus fare every day, the pay is $10.00 per hour.

    How long would Fritz have to work at Samantha's Ice Cream Shop to get the same amount at Mr. Smith's Bakery?

    In this system, x is the number of hours worked and y is the total amount earned.

    Bakery: y = 8x

    Ice Cream: y = 10x-4

    Solve for x using substitution

    8x=10x-4

    2x=4

    x=2, This means that it will take 2 hours of work to get the same amount of pay.
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