Whakaoti i te x+25/5+x=5/2/frac{16{5}}

$$\frac { x + 25 } { 5 + x } = \frac { \frac { 5 } { 2 } } { \frac { 16 } { 5 } }$$

Whakaoti mō x

$$x = -\frac{675}{7} = -96\frac{3}{7} \approx -96.428571429$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -5 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+5.

$$x+25=\left(x+5\right)\times \frac{\frac{5}{2}}{\frac{16}{5}}$$

Whakawehe \frac{5}{2} ki te \frac{16}{5} mā te whakarea \frac{5}{2} ki te tau huripoki o \frac{16}{5}.

$$x+25=\left(x+5\right)\times \frac{5}{2}\times \frac{5}{16}$$

Whakareatia te \frac{5}{2} ki te \frac{5}{16}, ka \frac{25}{32}.

$$x+25=\left(x+5\right)\times \frac{25}{32}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te \frac{25}{32}.

$$x+25=\frac{25}{32}x+\frac{125}{32}$$

Tangohia te \frac{25}{32}x mai i ngā taha e rua.

$$x+25-\frac{25}{32}x=\frac{125}{32}$$

Pahekotia te x me -\frac{25}{32}x, ka \frac{7}{32}x.

$$\frac{7}{32}x+25=\frac{125}{32}$$

Tangohia te 25 mai i ngā taha e rua.

$$\frac{7}{32}x=\frac{125}{32}-25$$

Tangohia te 25 i te \frac{125}{32}, ka -\frac{675}{32}.

$$\frac{7}{32}x=-\frac{675}{32}$$

Me whakarea ngā taha e rua ki te \frac{32}{7}, te tau utu o \frac{7}{32}.

$$x=-\frac{675}{32}\times \frac{32}{7}$$

Whakareatia te -\frac{675}{32} ki te \frac{32}{7}, ka -\frac{675}{7}.

$$x=-\frac{675}{7}$$