Ask Question
23 August, 01:31

Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if the extension is 4 feet shorter than the base, how long is each part of the ladder? base

+4
Answers (1)
  1. 23 August, 05:27
    0
    Let the base of the ladder be x ft and the extension be y ft.

    "when fully extended, a ladder is 28 feet in length."

    means: x+y=28

    " the extension is 4 feet shorter than the base "

    means: y=x-4, that is x-y = 4, (taking y to the side of x, and - 4 to the other side of x and y)

    thus, we have the system of equations:

    1) x+y = 28

    2) x-y=4

    adding the 2 equations, we have:

    (x+y) + (x-y) = 28+4

    2x=32

    x=32/2=16

    x+y=28, so 16+y=28, thus y=12

    Answer: Base: 16, Extension 12
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if the extension ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers