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13 March, 15:28

When Raphael solved the system below by using the method of elimination, he changed the second equation to - 8x-2y=-2 what property justifies this manipulation?

8x+3y=7

4x+y=1

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  1. 13 March, 15:41
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    For this case, what we are going to do is use the following property:

    Multiply an equation by a scalar.

    In this case, the scalar will be:

    k = - 2

    We have then that equation 2 will be:

    k * (4x + y) = k * 1

    -2 * (4x + y) = - 2 * 1

    -8x-2y = - 2

    Answer:

    The property that justifies this manipulation is:

    Multiply an equation by a scalar.
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