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14 April, 14:39

Use substitution to solve the system of equations.

y = 2x + 16

2x - 7y = - 64

A) (-4, 8)

B) (-1, 11)

C) (8, - 4)

D) (-7, - 11)

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Answers (2)
  1. 14 April, 14:58
    0
    Step-by-step explanation:

    y = 2x + 16 ... equation 1

    2x - 7y = - 64 ... equation 2

    Now putting y = 2x + 16 in equation 2

    2x - 7 (2x + 16) = - 64

    2x - 14x - 112 = - 64

    -12x = - 64+112

    -12x = 48

    Therefore x = - 4

    Now putting x = - 4 in equation 1

    y = 2 * (-4) + 16

    = - 8 + 16

    = 8
  2. 14 April, 15:05
    0
    A) (-4, 8)

    Step-by-step explanation:

    to solve this system of equation

    we will say let

    y = 2x + 16 ... equation 1

    2x - 7y = - 64 ... equation 2

    substitute equation 1 into equation 2

    2x - 7y = - 64 ... equation 2

    2x - 7 (2x + 16) = - 64

    2x - 14x - 112 = - 64

    combine the like terms

    2x - 14x = - 64 + 112

    -12x = 48

    divide both sides by the coefficient of x

    -12x/-12 = 48/-12

    x = - 4

    put the value of x = - 4 into equation 1

    y = 2x + 16 ... equation 1

    y = 2 (-4) + 16

    y = - 8 + 16

    y = 8

    therefore the value of x and y is - 4 and 8 respectively
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