\require{AMSmath}

4. Voorbeelden

Opgave 1 $\cases{2x+3y=12\cr3x+7y=8}$ $\cases{6x+9y=36\cr6x+14y=16}$ Trek (1) van (2) af: 5y=-20 \cases{y=-4\cr x=12}

Opgave 2 \cases{2x+3y=12\cr y=2x+4} \cases{2x+3(2x+4)=12\cr y=2x+4} \cases{2x+6x+12=12\cr y=2x+4} \cases{8x=0\cr y=2x+4} \cases{x=0\cr y=4}

Opgave 3 $\cases{y=x2-4x\cr y=2x-4}$ $x2-4x=2x-4 x2-6x+4=0 (x-3)2-9+4=0 (x-3)2-5=0 (x-3)2=5 x-3=-\sqrt 5\vee x-3=\sqrt 5 x=3-\sqrt 5\vee x=3+\sqrt 5$ \cases{x=3-\sqrt 5\cr y=2-2\sqrt 5}\vee \cases{x=3+\sqrt 5\cr y=2+2\sqrt 5}

• Struisvogels en everzwijnen
• Twee figuren

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