Whakaoti i te {l}{+3y-2=0}{+(k-2)y-5=0}

$$\left. \begin{array} { l } { + 3 y - 2 = 0 } \\ { + ( k - 2 ) y - 5 = 0 } \end{array} \right.$$

Whakaoti mō y, k

$$y=\frac{2}{3}\approx 0.666666667$$

$$k = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me tāpiri te 2 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$3y=2$$

Whakawehea ngā taha e rua ki te 3.

$$y=\frac{2}{3}$$

Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$\left(k-2\right)\times \frac{2}{3}-5=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te k-2 ki te \frac{2}{3}.

$$\frac{2}{3}k-\frac{4}{3}-5=0$$

Tangohia te 5 i te -\frac{4}{3}, ka -\frac{19}{3}.

$$\frac{2}{3}k-\frac{19}{3}=0$$

Me tāpiri te \frac{19}{3} ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{2}{3}k=\frac{19}{3}$$

Me whakarea ngā taha e rua ki te \frac{3}{2}, te tau utu o \frac{2}{3}.

$$k=\frac{19}{3}\times \frac{3}{2}$$

Whakareatia te \frac{19}{3} ki te \frac{3}{2}, ka \frac{19}{2}.

$$k=\frac{19}{2}$$

Kua oti te pūnaha te whakatau.

$$y=\frac{2}{3} k=\frac{19}{2}$$