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28 November, 18:01

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

elimination?

{2f-5g=-9

{-7f+3g=4

Multiply the first equation by 7 and the second equation by 2, and then add.

Multiply the first equation by 3 and the second equation by 5, and then subtract.

Multiply the first equation by - 7 and the second equation by 2, and then add.

Multiply the first equation by - 3 and the second equation by - 5, and then subtract.

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Answers (1)
  1. 28 November, 18:12
    0
    Multiply the first equation by 7 and the second equation by 2, and then add.

    Step-by-step explanation:

    2f - 5g=-9

    -7f + 3g=4

    To eliminate any variable, we need to make the coefficients same with different sign and add it

    the coefficient of 'f' in first equation is 2

    the coefficient of 'f' in second equation is - 7

    We already have different sign so we make the coefficients same

    To make the coefficient same, we multiply the first equation by 7 and second equation by 2

    So equation becomes

    14f - 35g = - 63

    -14f + 6g = 8

    Now when we add both equations, 'f' gets cancelled

    -29g = - 55
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