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3 October, 10:55

How do I solve this system of equations by substitution?

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

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  1. 3 October, 11:12
    0
    Hello,

    y-3x=2==>x = (y-2) / 3

    ==> (x+1) ² = ((y-2) / 3+1) ² = (y+1) ²/9

    y = (x+1) ²-5

    ==>y = (y²+2y1) / 9 - 5

    ==>y²-7y-44=0; Δ=7²+4*44=225=15²

    ==>y = (7+15) / 2 or y = (7-15) / 2

    ==>y = 11 and x = (11-2) / 3=3

    or y=-4 and x = (-4-2) / 3=-2

    sol={ (3,11); (-2,-4) }
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