Mathematics

Question

how to graph system of equation
y=-2x+1
y=x-5
what does the solution mean to this problem?

1 Answer

  • 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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