One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number

Question

One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?

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Hưng Khoa 5 months 2021-08-15T00:28:48+00:00 1 Answers 4 views 0

Answers ( )

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    2021-08-15T00:29:54+00:00

    Answer:

    The first number (x) = 8

    Step-by-step explanation:

    Let x = the first number

    Let y = the second number

    x = 3*y – 4

    2x + 3 – 2y = 11        Subtract 3 from both sides

    2x – 2y = 11 – 3

    2x – 2y = 8              Divide by 2

    x – y = 4                   Add y to both sides

    x = y + 4                  Now go back to the very first equation. Substitute for x

    y + 4 = 3y – 4          Subtract y from both sides

    4 = 3y – y – 4

    4 = 2y – 4                Add 4 to both sides

    4 + 4 = 2y

    8 = 2y                     Divide by 2

    8/2 = y

    y = 4

    x = 3y – 4

    x = 3*4 – 4

    x = 12 – 4

    x = 8

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