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22 November, 04:59

How do set up a substitution equation like 3x-y=5, x-4y=-24

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  1. 22 November, 05:26
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    Well to set up a substitution equation, you need to make sure you have something you can sub in that's identical in both equations.

    we have

    3x-y=5

    x-4y=-24

    what's in common? x and y.

    take one of the equations and solve for x or y like so (i'm doing y)

    3x-5=y

    then substitute the whole 3x-5 equation for y in the second equation. it is quite similar to how you would normally substitute a number like if y=5, then you substitute 5 for y in the second equation, but instead the "5" is an equation "3x-5"

    x-4y=-24

    x-4 (3x-5) = - 24

    Now that you got it set up, you just need to solve for x and once you got x value, plug the x value in the original equations to find y.
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