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6 November, 14:59

What is the solution to this system of equations?

x+2y=4

2x-2y=5

A) (3, Negative 5 and one-half)

B) (3, one-half)

C) no solution

D) infinitely many solutions

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Answers (2)
  1. 6 November, 15:11
    0
    The answer would be B (3, one-half)

    Explanation:

    If you add the two equations together, the + 2y and - 2y cancel out, leaving 3x=9.

    So, we know that x is three (9/3=3)

    Substitute x as 3 in either equation (I used the first)

    3+2y=4

    2y=1

    y = 1/2

    So, x is 3 and y is one-half, making the answer B
  2. 6 November, 15:21
    0
    Answer: B

    Explanation: x+2y=4 equ①

    2x-2y=5 equ②

    Add:equ①+②

    3x = 9

    x = 3

    Substitute x=3 in equ ①

    3+2y=4

    2y = 1

    y = 1/2
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