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16 March, 23:49

Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.

1. Isolate x in the first equation: x = 7 - 3y2.

Substitute the value for x into the second equation: 2 (7 - 3y) + 4y = 83.

Solve for y: 14 - 6y + 4y = 814 - 2y = 8-2y = - 6y = 34.

Substitute y into either original equation:x =

7 - 3 (3) 5.

Write the solution as an ordered pair: (,)

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Answers (1)
  1. 17 March, 02:55
    0
    Hello:

    x + 3y = 7 ... (1)

    2x + 4y = 8 ... (2)

    by (1) : x = 7-3y

    Substitute in (2) : 2 (7-3y) + 4y = 8

    14-6y + 4y = 8

    -2y = - 6

    y = 3

    x = 7-3 (3)

    x = - 2

    Write the solution as an ordered pair: (-2,3)
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