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10 February, 09:28

0.01x - 0.3y = 1

y = 0.1x - 2

Which of the following systems is equivalent to the given system?

A) x - 30y = 100 and 10y = x - 20

B) x - 3y = 10 and 10y = x - 20

C) 10x - 30y = 10 and 10y = x - 20

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Answers (2)
  1. 10 February, 09:54
    0
    Step-by-step explanation:

    0.01x-0.3y=1; y=0.1x-2

    Rewrite equations:

    y=0.1x-2; 0.01x-0.3y=1

    Step: Solvey=0.1x-2for y:

    y=0.1x-2

    Step: Substitute0.1x-2foryin0.01x-0.3y=1:

    0.01x-0.3y=1

    0.01x-0.3 (0.1x-2) = 1

    -0.02x+0.6=1 (Simplify both sides of the equation)

    -0.02x+0.6+-0.6=1+-0.6 (Add - 0.6 to both sides)

    -0.02x=0.4

    -0.02x

    -0.02

    =

    0.4

    -0.02

    (Divide both sides by - 0.02)

    x=-20

    Step: Substitute-20forxiny=0.1x-2:

    y=0.1x-2

    y = (0.1) (-20) - 2

    y=-4 (Simplify both sides of the equation)

    Answer:

    x=-20 and y=-4
  2. 10 February, 09:55
    0
    x-30y=100 and 10y=x-20
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