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13 May, 16:42

Solve the system of equations.

y = 5x + 32

y = - 4x - 22

a. (6,2)

b. (-6, - 2)

C (-6, 2)

d. No solution

+2
Answers (1)
  1. 13 May, 16:50
    0
    C (-6, 2)

    Step-by-step explanation:

    in order to solve this system of equation, we would say that let

    y = 5x + 32 ... equation 1

    y = - 4x - 22 ... equation2

    substitute equation 1 into equation 2

    we have,

    5x + 32 = - 4x - 22

    combine the like terms

    5x + 4x + 32 = - 22

    9x = - 22-32

    9x = - 54

    divide both sides by the coefficient of x which is 9

    9x/9 = - 54/9

    x = - 6

    put x = -6 into equation 1

    y = 5x + 32 ... equation 1

    y = 5 (-6) + 32

    y = - 30 + 32

    y = 2

    therefore the value of x and y is - 6 and 2 respectively
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