2x = 4y + 8, x – 2y = 4 System of Equations

Question

2x = 4y + 8, x – 2y = 4
System of Equations

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Kim Cúc 3 years 2021-08-08T15:23:22+00:00 2 Answers 15 views 0

Answers ( )

    0
    2021-08-08T15:25:00+00:00

    Answer:

    infinite number of solutions

    Step-by-step explanation:

    Given the 2 equations

    2x = 4y + 8 → (1)

    x – 2y = 4 → (2)

    Rearrange (2) making x the subject by adding 2y to both sides

    x = 4 + 2y → (3)

    Substitute x = 4 + 2y into (1)

    2(4 + 2y) = 4y + 8 ← distribute and simplify left side

    8 + 4y = 4y + 8

    Since both sides are the same this indicates the system has an infinite number of solutions.

    one possible solution is, found by choosing a value for y and substituting into (3)

    y = 1 : x = 4 + 2(1) = 4 + 2 = 6 , that is

    (6, 1 )

    Other possible solutions may be generated in the same way.

    0
    2021-08-08T15:25:07+00:00

    Answer:

    y =  2  \\ {0 \: and \:2}

    Step-by-step explanation:

    -2 + 2(3) =-2 +6 = 4 for the 2nd equation

    2(-2) + 4(3) = -4 +12 = 8 for the 2nd equation

    (-2,3) satisfies both equations

    let x = 0, then y= 2 (0,2) is another solution

    there’s multiple solutions, including (-2,3) and (0,2). That eliminates all answers except the first

    Try graphing the two equations. They’re the same line, with an infinite number of points on the line, which means an infinite number of solutions.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )