The sum of two numbers is 83. The sum of 2 times the first number and 3 times the second number is 203. Write a system of equations an

Question

The sum of two numbers is 83. The sum of 2 times the first number and 3 times the second number
is 203. Write a system of equations and use the system to find the two numbers.
The two numbers are_____
and_____

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RuslanHeatt 4 years 2021-09-03T19:38:25+00:00 1 Answers 11 views 0

Answers ( )

  1. Neala
    0
    2021-09-03T19:39:34+00:00
    Reply

    Answer: the two numbers are 46 and 37

    Step-by-step explanation:

    Given that:

    Sum of two numbers = 83

    Sum of two times the first number and three times the second number = 203

    From the question :

    Let the numbers = a and b respectively

    a + b = 83 – – – (1)

    2*a + 3*b = 203

    2a + 3b = 203 – – – (2)

    From (1) :

    a + b = 83

    a = 83 – b

    Substitute a = 83 – b into (2)

    2(83 – b) + 3b = 203

    166 – 2b + 3b = 203

    166 + b = 203

    b = 203 – 166

    b = 37

    From;

    a + b = 83

    a = 83 – b

    a = 83 – 37

    a = 46

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )