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19 July, 23:15

Solve the system of linear equations.

6x - 2y = - 18

2x - 2y = - 2

+3
Answers (2)
  1. 20 July, 00:54
    0
    x = - 4

    y = - 3

    Step-by-step explanation:

    to solve the system of linear equation we say that let

    6x - 2y = - 18 ... equation 1

    2x - 2y = - 2 ... equation 2

    from equation 2

    2x - 2y = - 2 ... equation 2

    2x = - 2 + 2y

    divide both sides by 2

    2x/2 = (-2 + 2y) / 2

    x = (-2 + 2y) / 2 ... equation 3

    substitute for x in equation 1

    6x - 2y = - 18 ... equation 1

    6[ (-2 + 2y) / 2] - 2y = - 18

    -6 + 6y - 2y = - 18

    collect the like terms

    6y - 2y = - 18 + 6

    4y = - 12

    divide both sides by the coefficient of y which is 4

    4y/4 = - 12/4

    y = - 3

    put y = - 3 in equation 3

    x = (-2 + 2y) / 2 ... equation 3

    x = - 2 + 2 (-3) / 2

    x = - 2-6/2

    x = - 8/2

    x = - 4

    therefore the value of x and y in the equation is - 4 and - 3 respectively.
  2. 20 July, 01:02
    0
    x = - 4, y = - 3.

    Step-by-step explanation:

    Solving: 6x-2y = - 18 2x-2y = - 2 Using Substitution Method. Expressing x as a function of y (from the first equation) x = (-18 + 2y) / 6 Substituting this expression into the second equation: 2 (-18-2y) / 6-2y = - 2 then Simplifying this expression: (-8) y = 24 or y = - 3 Now you can, substitute y = - 3 back into the x expressed as a function of y: x = (-18+2y) / 6 = - 4
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