Whakaoti i te {l}{x+y+z=7434}{x=3/4y}{y=5/6*z}

$$\left\{ \begin{array} { l } { x + y + z = 7434 } \\ { x = \frac { 3 } { 4 } y } \\ { y = \frac { 5 } { 6 } \cdot z } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=1890$$

$$y=2520$$

$$z=3024$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$x=\frac{3}{4}y x+y+z=7434 y=\frac{5}{6}z$$

Whakakapia te \frac{3}{4}y mō te x i te whārite x+y+z=7434.

$$\frac{3}{4}y+y+z=7434$$

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

$$y=-\frac{4}{7}z+4248 z=\frac{6}{5}y$$

Whakakapia te -\frac{4}{7}z+4248 mō te y i te whārite z=\frac{6}{5}y.

$$z=\frac{6}{5}\left(-\frac{4}{7}z+4248\right)$$

Me whakaoti te z=\frac{6}{5}\left(-\frac{4}{7}z+4248\right) mō z.

$$z=3024$$

Whakakapia te 3024 mō te z i te whārite y=-\frac{4}{7}z+4248.

$$y=-\frac{4}{7}\times 3024+4248$$

Tātaitia te y i te y=-\frac{4}{7}\times 3024+4248.

$$y=2520$$

Whakakapia te 2520 mō te y i te whārite x=\frac{3}{4}y.

$$x=\frac{3}{4}\times 2520$$

Tātaitia te x i te x=\frac{3}{4}\times 2520.

$$x=1890$$

Kua oti te pūnaha te whakatau.

$$x=1890 y=2520 z=3024$$