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25 August, 11:43

Determine the best methods to solve each system of equations ...

1]2y+1=x

3x+Y=17

2) 7x+5y=29

21x-25y=-33

3) - 2x+5y=14

-2x-3y=-2

4) 4x+2y=1

-4x+4y=5

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Answers (1)
  1. 25 August, 12:02
    0
    2y + 1 = x ⇒ x - 2y = 1 ⇒ 3x - 6y = 3

    3x + y = 17 ⇒ 3x + y = 17 ⇒ 3x + y = 17

    -7y = - 14

    -7 - 7

    y = 2

    3x + 2 = 17

    -2 - 2

    3x = 15

    3 3

    x = 5

    (x, y) = (5, 2)

    07x + 05y = 29 ⇒ 21x + 15y = 87

    21x - 25y = - 33 ⇒ 21x - 25y = - 33

    40y = 120

    40 40

    y = 3

    21x - 25 (3) = - 33

    1x - 75 = - 33

    +75 + 75

    21x = 42

    21 21

    x = 2

    (x, y) = (2, 3)

    -2x + 5y = 14

    -2x - 3y = - 2

    2y = 12

    2 2

    y = 6

    -2x + 5 (6) = 14

    -2x + 30 = 14

    -30 - 30

    -2x = - 16

    -2 - 2

    x = 8

    (x, y) = (8, 6)

    4x + 2y = 1

    -4x + 4y = 5

    -2y = - 4

    -2 - 2

    y = 2

    4x + 2 (2) = 1

    4x + 4 = 1

    -4 - 4

    4x = - 3

    4 4

    x = - 0.75

    (x, y) = (-0.75, 2)
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