Whakaoti i te {l}{2x-y=1}{z=-5x+3y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 2 x - y = 1 }\\ { z = -5 x + 3 y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=a+3$$

$$y=2a+5$$

$$z=a$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$z=-5x+3y 2x-y=1 a=z$$

Whakakapia te -5x+3y mō te z i te whārite a=z.

$$a=-5x+3y$$

Me whakaoti te whārite tuarua mō y me te whārite tuatoru mō x.

$$y=2x-1 x=-\frac{1}{5}a+\frac{3}{5}y$$

Whakakapia te 2x-1 mō te y i te whārite x=-\frac{1}{5}a+\frac{3}{5}y.

$$x=-\frac{1}{5}a+\frac{3}{5}\left(2x-1\right)$$

Me whakaoti te x=-\frac{1}{5}a+\frac{3}{5}\left(2x-1\right) mō x.

$$x=3+a$$

Whakakapia te 3+a mō te x i te whārite y=2x-1.

$$y=2\left(3+a\right)-1$$

Tātaitia te y i te y=2\left(3+a\right)-1.

$$y=5+2a$$

Whakakapia te 5+2a mō te y me te 3+a mō x i te whārite z=-5x+3y.

$$z=-5\left(3+a\right)+3\left(5+2a\right)$$

Tātaitia te z i te z=-5\left(3+a\right)+3\left(5+2a\right).

$$z=a$$

Kua oti te pūnaha te whakatau.

$$x=3+a y=5+2a z=a$$