What The first three steps in determining the solution set of the system of equations algebraically are shown. y=x²-x-3

Question

What
The first three steps in determining the solution set of the
system of equations algebraically are shown.
y=x²-x-3
y=-3x+ 5
0000
Step
Equation
x²-x-3= – 3x+5
0=x²+2x– 8
O = (x-2)(x+4)
2

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Samantha 2 weeks 2022-01-08T15:18:37+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-08T15:19:51+00:00

    I assume you want the equation to be solved, so this is a quadratic simultaneous equation.

    y = x^2-x-3 ——— (1)
    y = -3x+5 ——— (2)

    Sub (1) into (2)
    (This is the first three steps provided)

    x^2-x-3 = -3x+5
    0 = x^2+2x-8
    0 = (x-2)(x+4) ——— (3)

    Solve for x in (3):

    x-2 = 0
    x = 2

    x+4 = 0
    x = -4

    Sub x into (2)

    y = -3(2) + 5
    y = -1

    y = -3(-4) + 5
    y = 17

    Hence the solution sets are:

    x=2, y=-1
    x=-4, y=17

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