There are 18 cub scouts in troop 545. the number of scouts is three more than five times

There are 18 cub scouts in troop 545. the number of scouts is three more than five times the number of adult leaders. find the number of adult leaders.

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  1. This can be displayed as a system of equations.

    x = 3 + 5y

    x - y = 11

    Because we have a value of x we can plug it into the value of x in the second equation.

    (3 + 5y) - y = 11

    3 + 5y - y = 11

    Combine like terms.

    3 + 4y = 11

    Subtract 3 from both sides.

    4y = 8

    Divide both sides by 4.

    y = 2

    Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.

    x - 2 = 11

    Add 2 to both sides.

    x = 13

    Now, let's verify.

    13 = 3 + 5(2)

    13 = 3 + 10

    13 = 13 √ this is correct.

    13 - 2 = 11

    11 = 11 √ this is correct.

    The first number, or x, is equal to 13.

    The second number, or y, is equal to 2.

  2. A certain number (x) is 3 more then 5 times another number (y)
    x = 5y + 3

    the difference of the 2 numbers is 11
    x - y = 11

    so ur system of equations is :
    x = 5y + 3
    x - y = 11

  3. 3 + 5x ≤ 8 is how this would be displayed in numbers.

    To solve, we treat this like an algebraic equation.

    Subtract 3 from both sides.

    5x ≤ 5

    Divide both sides by 5.

    x ≤ 1

    The value of x is less than or equal to 1 to make the inequality true.

  4. Let's start by defining our unknown number.

    Let's call it x.

    Now, Let's handle the first part of it.  3 more than five times a number.  That can be represented by the following

    [tex]3+5x[/tex]

    Now we handle the second part, "Thirty more than twice the number"

    Which can be represented by

    [tex]30+2x[/tex]

    So, now we set them equal, since it tells us that these expressions are the same.  Then we just solve the equation

    [tex]3+5x=30+2x\\\\5x=27+2x\\\\3x=27\\\\x=9[/tex]

    The answer is 9

  5. 5x+3

    Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

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