Whakaoti i te {l}{2(x+8)=3(x-1)}{8y-3(3y+2)=6}

$$\left. \begin{array} { l } { 2 ( x + 8 ) = 3 ( x - 1 ) } \\ { 8 y - 3 ( 3 y + 2 ) = 6 } \end{array} \right.$$

Whakaoti mō x, y

$$x=19$$

$$y=-12$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+8.

$$2x+16=3\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$2x+16=3x-3$$

Tangohia te 3x mai i ngā taha e rua.

$$2x+16-3x=-3$$

Pahekotia te 2x me -3x, ka -x.

$$-x+16=-3$$

Tangohia te 16 mai i ngā taha e rua.

$$-x=-3-16$$

Tangohia te 16 i te -3, ka -19.

$$-x=-19$$

Whakawehea ngā taha e rua ki te -1.

$$x=\frac{-19}{-1}$$

Ka taea te hautanga \frac{-19}{-1} te whakamāmā ki te 19 mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=19$$

Whakaarohia te whārite tuarua. Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 3y+2.

$$8y-9y-6=6$$

Pahekotia te 8y me -9y, ka -y.

$$-y-6=6$$

Me tāpiri te 6 ki ngā taha e rua.

$$-y=6+6$$

Tāpirihia te 6 ki te 6, ka 12.

$$-y=12$$

Whakawehea ngā taha e rua ki te -1.

$$y=-12$$

Kua oti te pūnaha te whakatau.

$$x=19 y=-12$$