SW=2x+y, WC= x-2y, W is the midpoint of SC, and SC=20, find the values of x and y.

Question

SW=2x+y, WC= x-2y, W is the midpoint of SC, and SC=20, find the values of x and y.

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Nho 4 years 2021-08-27T10:25:54+00:00 1 Answers 26 views 0

Answers ( )

  1. haidang
    0
    2021-08-27T10:27:52+00:00
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    Answer:

    x= 6

    y = -2

    Step-by-step explanation:

    Given

    SW = 2x + y

    WC = x - 2y

    SC = 20

    Required

    Determine x and y

    Since W is the midpoint;

    SW = WC = \frac{1}{2} * SC

    SW = WC = \frac{1}{2} * 20

    SW = WC = 10

    Substitute 10 for SW and WC

    2x + y = 10 — (1)

    x - 2y = 10 —- (2)

    Make x the subject in (2)

    x = 10 + 2y

    Substitute x = 10 + 2y in (1)

    2(10 + 2y) + y = 10

    20 + 4y + y = 10

    20 + 5y = 10

    Solve for 5y

    5y = 10 - 20

    5y = -10

    Solve for y

    y = -10/5

    y = -2

    Recall that x = 10 + 2y

    x = 10 + 2(-2)

    x = 10 -4

    x= 6

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