Whakaoti i te {l}{y/a-x=3x+y=x/a-}{a+y/x=?}{x+1=0}

$$\left. \begin{array} { l } { \frac { y } { a } - x = 3 x + y = \frac { x } { a } - } \\ { a + \frac { y } { x } = ? } \\ { x + 1 = 0 } \end{array} \right.$$

Whakaoti mō x

$$x=-\frac{y\left(a-1\right)}{4a}$$

$$a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te a.

$$y-xa=3xa+ay$$

Tangohia te 3xa mai i ngā taha e rua.

$$y-xa-3xa=ay$$

Pahekotia te -xa me -3xa, ka -4xa.

$$y-4xa=ay$$

Tangohia te y mai i ngā taha e rua.

$$-4xa=ay-y$$

He hanga arowhānui tō te whārite.

$$\left(-4a\right)x=ay-y$$

Whakawehea ngā taha e rua ki te -4a.

$$\frac{\left(-4a\right)x}{-4a}=\frac{y\left(a-1\right)}{-4a}$$

Mā te whakawehe ki te -4a ka wetekia te whakareanga ki te -4a.

$$x=\frac{y\left(a-1\right)}{-4a}$$

Whakawehe y\left(-1+a\right) ki te -4a.

$$x=-\frac{y\left(a-1\right)}{4a}$$