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Today, 04:22

1. Given the system

2X + 3Y = 18

-2X + 5Y = 14

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X, Y)

2. Given the system

3x + 4y = 5

2x + 7y = 12

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X, Y)

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Answers (1)
  1. Today, 04:32
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    1. (3,4) 2. (-1,2)

    Step-by-step explanation:

    1. We can solve this simultaneously:

    2x + 3y = 18

    -2x + 5y = 14 - we have to add the two equations

    8y = 32

    y = 4

    Then we substitute y into one of the equations to get the value of x:

    2x + 12 = 18

    2x = 6

    x = 3

    So the answer is (3,4)

    2. We can also solve this simultaneously:

    3x + 4y = 5 - multiply this equation by 2

    2x + 7y = 12 - multiply this equation by 3

    6x + 8y = 10

    6x + 21y = 36 - we subtract the equation above from this one

    13y = 26

    y = 2

    Then we substitute y into one of the equations to get the value of x:

    3x + 8 = 5

    3x = - 3

    x = - 1

    So the answer is (-1,2)
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