Whakaoti mō x, y
x=\frac{4n}{3}-\frac{8}{9}
y=\frac{10}{3}-2n
Graph
Pātaitai
Algebra
\left. \begin{array} { l } { 3 x + 2 y = 4 } \\ { 3 y + 6 n = 10 } \end{array} \right.
Tohaina
Kua tāruatia ki te papatopenga
3y+6n=10,2y+3x=4
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.
3y+6n=10
Tīpakohia tētahi o ngā whārite e rua he māmā ake ki te whakaoti mō te y mā te wehe i te y i te taha mauī o te tohu ōrite.
3y=10-6n
Me tango 6n mai i ngā taha e rua o te whārite.
y=\frac{10}{3}-2n
Whakawehea ngā taha e rua ki te 3.
2\left(\frac{10}{3}-2n\right)+3x=4
Whakakapia te \frac{10}{3}-2n mō te y ki tērā atu whārite, 2y+3x=4.
\frac{20}{3}-4n+3x=4
Whakareatia 2 ki te \frac{10}{3}-2n.
3x=4n-\frac{8}{3}
Me tango \frac{20}{3}-4n mai i ngā taha e rua o te whārite.
x=\frac{4n}{3}-\frac{8}{9}
Whakawehea ngā taha e rua ki te 3.
y=\frac{10}{3}-2n,x=\frac{4n}{3}-\frac{8}{9}
Kua oti te pūnaha te whakatau.
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