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13 May, 23:34

The table can be used to determine the solution to the system of equations, 2y - x = 8, and y - 2x = - 5.

Which solution can be used to fill in both blanks in the table?

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  1. 13 May, 23:48
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    Determine the given

    2y - x = 8 ⇒ equation 1

    y - 2x = - 5 ⇒ equation 2

    Get y equivalent from equation 2:

    y = 2x - 5 ⇒ equation 3

    Substitute y = 2x - 5 to equation 1

    2 (2x-5) - x = 8

    Distribute and Simplify

    4x - 10 - x = 8

    3x = 10 + 8 ⇒ combine like terms by transposing it to other side

    3x = 18

    x = 6 ⇒ divide both sides by 3 to get the value of x

    Substitute the value of x to equation 3

    y = 2 (6) - 5

    y = 12 - 5

    y = 7

    Answer : x = 6; y = 7
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