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MathematicsMathematics
19 November, 08:45

A system of linear equations is shown below. 2x + 4y = 10 3x - y = 8 marla is attempting to prove that by replacing 2x + 4y = 10 with a different equation it will sometimes produce a new system of equations with the same solution. marla plans on multiplying 2x + 4y = 10 by 2 and then adding the results to the equation 3x - y = 8 in order to create a new equation. marla claims that the new equation that she will replace 2x + 4y = 10 with is 7x + 7y = 12. is marla correct?

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  1. 19 November, 10:14
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    2 (2x + 4y) + (3x - y) = 2 (10) + (8)

    ... 7x + 7y = 28

    Marla has incorrectly calculated the constant as 12. It should be 28.
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Home » Mathematics » A system of linear equations is shown below. 2x + 4y = 10 3x - y = 8 marla is attempting to prove that by replacing 2x + 4y = 10 with a different equation it will sometimes produce a new system of equations with the same solution.
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