Whakaoti i te 77x+5/3=4

$$7 \frac { 7 x + 5 } { 3 } = 4$$

Whakaoti mō x

$$x=-\frac{23}{49}\approx -0.469387755$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 7.

$$\frac{7x+5}{3}=\frac{4}{7}$$

Me whakarea ngā taha e rua ki te 3.

$$7x+5=\frac{4}{7}\times 3$$

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

$$7x+5=\frac{4\times 3}{7}$$

Whakareatia te 4 ki te 3, ka 12.

$$7x+5=\frac{12}{7}$$

Tangohia te 5 mai i ngā taha e rua.

$$7x=\frac{12}{7}-5$$

Me tahuri te 5 ki te hautau \frac{35}{7}.

$$7x=\frac{12}{7}-\frac{35}{7}$$

Tā te mea he rite te tauraro o \frac{12}{7} me \frac{35}{7}, me tango rāua mā te tango i ō raua taurunga.

$$7x=\frac{12-35}{7}$$

Tangohia te 35 i te 12, ka -23.

$$7x=-\frac{23}{7}$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{-\frac{23}{7}}{7}$$

Tuhia te \frac{-\frac{23}{7}}{7} hei hautanga kotahi.

$$x=\frac{-23}{7\times 7}$$

Whakareatia te 7 ki te 7, ka 49.

$$x=\frac{-23}{49}$$

Ka taea te hautanga \frac{-23}{49} te tuhi anō ko -\frac{23}{49} mā te tango i te tohu tōraro.

$$x=-\frac{23}{49}$$