Mark
Lv 7
Mark asked in Science & MathematicsGeography · 5 years ago

How to solve 17x + 18y = 770?

Update:

Thank you for any help.

5 Answers

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  • ?
    Lv 7
    5 years ago

    17x + 18y = 770

    There are an infinite number of solutions. Either in reals or integers.

    An interesting problem is to find integer solutions.

    17x + 18y = 770

    770 = 45(17) + 5

    18y = 17y + y

    x = (770 - 18y) / 17

    x = [45(17) + 5 - 17y - y] /17

    x = 45 - y + (5-y)/17

    One integral solution is

    y=5, x=40

    x=40, y=5

    17(40) + 18(5) = 770

    Other integral solutions trade off x and y values.

    5-y = 17k

    y = 5 -17k

    x = 45 - (5-17k) + k

    x = 40 + 18k

    x = 40 + 18k, y = 5 - 17k

    look for positive integers

    k x y

    0 40 5

    -1 22 22

    -2 4 39

    That's all, folks!

  • Anonymous
    5 years ago

    You need to say what you want to solver for. It could be x or y.

    17x + 18y = 770

    Subtract 17x from each side

    18y = -17x + 770

    Divide by 18

    y = -(17/18)x + 770/18

    Reduce the fraction to lowest terms.

    y = -(17/18)x + 385/9

    That's the equation of a line in slope-intercept form.

    Solving for x is similar.

  • With a calculator.

  • 5 years ago

    17x + 18y = 770

    x=(770-18y)/17 .....y ∈ ℝ

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  • Anonymous
    4 years ago

    you solve it by hanging yourself

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