Solve Ax + By = C for x. 1. x equals the quantity negative B times y plus C all over A 2. x equals the quantity B times y

Question

Solve Ax + By = C for x.

1. x equals the quantity negative B times y plus C all over A
2. x equals the quantity B times y plus C all over A
3. x equals the quantity B times y minus C all over A
4. x equals the quantity negative B times y minus C all over A

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Thành Công 4 years 2021-07-29T17:05:12+00:00 1 Answers 6 views 0

Answers ( )

  1. thienhuong
    0
    2021-07-29T17:06:51+00:00
    Reply

    Answer:

    x equals the quantity negative B times y plus C all over A

    Step-by-step explanation:

    First I like to translate the words into the actual equations they represent…

    • “equals” means use the =
    • the phrase “the quantity of…” usually means parentheses are involved
    • “negative” means –
    • “times” means multiply. There usually isn’t an actual multiplication sign. for example “3 times x” would be written as 3x
    • plus means add (+)
    • “all over ___” would mean that the first part is the numerator of a fraction and whatever is in the blank would be the denominator

    so…

    1. x = (-By + C) / A

    2. x = (By + C) / A

    3. x = (By – C) / A

    4. x = (-By – C) / A

    To solve:

    starting equation is

    Ax + By = C

    so to get x by itself you first subtract By from both sides of the equation

    Ax = -By + C

    and then divide by A

    x = (-By + C) / A

    which matches the first answer

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