Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Samir is thinking o

Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Samir is thinking of two numbers. Adding 5 times the first number and 4 times the second number gives a total of 21. Also, adding 5 times the first number and 9 times the second number gives 16. What are the two numbers?

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Vân Khánh 3 years 2021-08-17T06:20:04+00:00 1 Answers 4 views 0

Answers ( )

  1. thugiang
    0
    2021-08-17T06:22:01+00:00
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    Answer:

    the first number is 3.4 and the second number is 1

    Step-by-step explanation:

    The computation of the two numbers is shown below:

    Let us assume the first number be x

    And, the second number be y

    Now the equations are

    5x + 4y = 21

    And,

    5x + 9y = 16

    Now subtract equation 2 from equation 1

    -5y = -5

    y = 1

    And, the x is

    5x + 4 = 21

    5x = 17

    x = 3.4

    Hence, the first number is 3.4 and the second number is 1

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