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13 August, 10:15

How to graph system of equation

y=-2x+1

y=x-5

what does the solution mean to this problem?

+5
Answers (1)
  1. 13 August, 10:22
    0
    Alright. So, we need to apply the substitution method.

    y+5 = x - 5

    +5

    y+5 = x

    x = y+5 Now we have our value for x

    Plug in the value for x, then solve.

    y = - 2 (y+5) + 1

    Distributive property

    y = - 2*y + - 2*5 + 1

    y = - 2y + - 10 + 1

    y = - 2y + - 9

    y+2y = - 2y + - 9

    +2y

    3y = - 9

    3y/3 = - 9/3

    y = - 3

    Here, we know that y = - 3

    Now, apply it into an equation to solve for x.

    -3+5 = x - 5

    +5

    2 = x

    Now we know that

    x = 2

    y = - 3
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