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9 January, 02:43

Solve the system of linear equations.

y = x + 3

y = 2x - 2

+3
Answers (2)
  1. 9 January, 02:51
    0
    x=5, y=8

    Step-by-step explanation:

    Since both equations equal y, we can set them equal

    y = x + 3

    y = 2x - 2

    x+3 = 2x-2

    Subtract x from each side

    x-x+3 = 2x-x-2

    3 = x-2

    Add 2 to each side

    3+2 = x-2+2

    5 = x

    Now we need to find y

    y = x+3

    y=5+3

    y=8
  2. 9 January, 03:57
    0
    x = 5

    y = 8

    Step-by-step explanation:

    to solve the linear system of equation, we would say that let

    y = x + 3 ... equation 1

    y = 2x - 2 ... equation 2

    substitute for equation 1 into equation 2

    we have

    x + 3 = 2x - 2

    collect the like terms

    x + 3 + 2 = 2x

    x + 5 = 2x

    5 = 2x - x

    5 = x

    x = 5

    substitute for the value of x = 5 in equation 2

    y = 2x - 2 ... equation 2

    y = 2 (5) - 2

    y = 10 - 2

    y = 8

    Therefore the value of x and y in the linear equation is 5 and 8 respectively
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