Whakaoti i te {r}{3/3+4y=10/3}{2(-2y+x)/3-3x/2=-frac{13}{6}}

$$\left. \begin{array} { r } { \frac { 3 } { 3 } + 4 y = \frac { 10 } { 3 } } \\ { \frac { 2 ( - 2 y + x ) } { 3 } - \frac { 3 x } { 2 } = - \frac { 13 } { 6 } } \end{array} \right.$$

Whakaoti mō y, x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

$$y=\frac{7}{12}\approx 0.583333333$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea te 3 ki te 3, kia riro ko 1.

$$1+4y=\frac{10}{3}$$

Tangohia te 1 mai i ngā taha e rua.

$$4y=\frac{10}{3}-1$$

Tangohia te 1 i te \frac{10}{3}, ka \frac{7}{3}.

$$4y=\frac{7}{3}$$

Whakawehea ngā taha e rua ki te 4.

$$y=\frac{\frac{7}{3}}{4}$$

Tuhia te \frac{\frac{7}{3}}{4} hei hautanga kotahi.

$$y=\frac{7}{3\times 4}$$

Whakareatia te 3 ki te 4, ka 12.

$$y=\frac{7}{12}$$

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

$$\frac{2\left(-2\times \frac{7}{12}+x\right)}{3}-\frac{3x}{2}=-\frac{13}{6}$$

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,2,6.

$$2\times 2\left(-2\times \frac{7}{12}+x\right)-3\times 3x=-13$$

Whakareatia te 2 ki te 2, ka 4.

$$4\left(-2\times \frac{7}{12}+x\right)-3\times 3x=-13$$

Whakareatia te -2 ki te \frac{7}{12}, ka -\frac{7}{6}.

$$4\left(-\frac{7}{6}+x\right)-3\times 3x=-13$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -\frac{7}{6}+x.

$$-\frac{14}{3}+4x-3\times 3x=-13$$

Whakareatia te -3 ki te 3, ka -9.

$$-\frac{14}{3}+4x-9x=-13$$

Pahekotia te 4x me -9x, ka -5x.

$$-\frac{14}{3}-5x=-13$$

Me tāpiri te \frac{14}{3} ki ngā taha e rua.

$$-5x=-13+\frac{14}{3}$$

Tāpirihia te -13 ki te \frac{14}{3}, ka -\frac{25}{3}.

$$-5x=-\frac{25}{3}$$

Whakawehea ngā taha e rua ki te -5.

$$x=\frac{-\frac{25}{3}}{-5}$$

Tuhia te \frac{-\frac{25}{3}}{-5} hei hautanga kotahi.

$$x=\frac{-25}{3\left(-5\right)}$$

Whakareatia te 3 ki te -5, ka -15.

$$x=\frac{-25}{-15}$$

Whakahekea te hautanga \frac{-25}{-15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -5.

$$x=\frac{5}{3}$$

Kua oti te pūnaha te whakatau.

$$y=\frac{7}{12} x=\frac{5}{3}$$