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16 December, 12:38

Solve each system by substitution:

3x+y=2

4x+y=20

How do I solve this and set this up

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Answers (2)
  1. 16 December, 12:52
    0
    Solve the first equation for y.

    3x+y=2

    y=2-3x

    Substitute

    4x + (2-3x) = 20

    4x+2-3x=20

    x=18
  2. 16 December, 12:59
    0
    So you want to isolate one of the variables in one of the equations. Using the first equation, we can make 3x+y=2 y=2-3x.

    Then plug y=2-3x into the second equation:

    4x + (2-3x) = 20

    Then solve.

    x+2=20

    x=18

    Finally, plug the x value back into any of the two equations to find y. This is essential to get full credit!

    4 (18) + y=20

    72+y=20

    y = - 52

    x=18

    y = - 52
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