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18 December, 02:38

Solve the system of equations by substitution.

y=5x-13

4x + 3y = 18

+5
Answers (1)
  1. 18 December, 03:04
    0
    {y, x} = {2,3}

    System of Linear Equations entered:

    [1] y=5x-13

    [2] 4x+3y=18

    Equations Simplified or Rearranged:

    [1] y - 5x = - 13

    [2] 3y + 4x = 18

    Graphic Representation of the Equations:

    -5x + y = - 13 4x + 3y = 18

    Solve by Substitution:

    / / Solve equation [1] for the variable y

    [1] y = 5x - 13

    / / Plug this in for variable y in equation [2]

    [2] 3• (5x-13) + 4x = 18

    [2] 19x = 57

    / / Solve equation [2] for the variable x

    [2] 19x = 57

    [2] x = 3

    / / By now we know this much:

    y = 5x-13

    x = 3

    / / Use the x value to solve for y

    y = 5 (3) - 13 = 2

    Solution:

    {y, x} = {2,3}

    Explanation
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