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8 June, 19:23

What is the solution of the system of equations?

5x + 4y = - 22

2x - 3y = 5

+1
Answers (1)
  1. 8 June, 21:20
    0
    y = 3

    x = 7

    Step-by-step explanation:

    to solve this system of equations using substitution method we say, let

    5x + 4y = - 22 ... equation 1

    2x - 3y = 5 ... equation 2

    from equation 2

    2x - 3y = 5

    2x = 5 + 3y

    divide both sides by 2

    we have;

    2x/2 = (5+3y) / 2

    x = (5+3y) / 2 ... equation 3

    put x = (5+3y) / 2 in equation 1

    5x + 4y = - 22 ... equation 1

    5 (5+3y) / 2 + 4y = - 22

    (25 + 15y) / 2 + 4y = - 22

    multiply through by 2

    25 + 15y + 8y = - 44

    25 + 23y = - 44

    collect the like terms

    23y = - 44 - 25

    23y = - 69

    divide both sides by 23

    23y/23 = - 69/23

    y = 3

    put the value of y = 3 into equation 3

    x = (5+3y) / 2 ... equation 3

    x = (5+3 (3) ]/2

    x = 5+9/2

    x = 14/2

    x = 7
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