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Whakaoti mō x_1, x_2
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Tohaina

2x_{1}+2x_{3}=6,3x_{1}+x_{2}+2x_{3}=8
Hei whakaoti i ētahi whārite takirua mā te whakakapinga, me whakaoti tētahi whārite i te tuatahi mō tētahi o ngā taurangi. Ka whakakapi i te otinga mō taua taurangi ki tērā o ngā whārite.
2x_{1}+2x_{3}=6
Tīpakohia tētahi o ngā whārite e rua he māmā ake ki te whakaoti mō te x_{1} mā te wehe i te x_{1} i te taha mauī o te tohu ōrite.
2x_{1}=6-2x_{3}
Me tango 2x_{3} mai i ngā taha e rua o te whārite.
x_{1}=3-x_{3}
Whakawehea ngā taha e rua ki te 2.
3\left(3-x_{3}\right)+x_{2}+2x_{3}=8
Whakakapia te 3-x_{3} mō te x_{1} ki tērā atu whārite, 3x_{1}+x_{2}+2x_{3}=8.
9-3x_{3}+x_{2}+2x_{3}=8
Whakareatia 3 ki te 3-x_{3}.
x_{2}+9-x_{3}=8
Tāpiri 9-3x_{3} ki te 2x_{3}.
x_{2}=x_{3}-1
Me tango 9-x_{3} mai i ngā taha e rua o te whārite.
x_{1}=3-x_{3},x_{2}=x_{3}-1
Kua oti te pūnaha te whakatau.