Whakaoti i te 7/2x+5/2=2

$$\frac { 7 } { 2 } x + \frac { 5 } { 2 } = 2$$

Whakaoti mō x

$$x=-\frac{1}{7}\approx -0.142857143$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{5}{2} mai i ngā taha e rua.

$$\frac{7}{2}x=2-\frac{5}{2}$$

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$\frac{7}{2}x=\frac{4}{2}-\frac{5}{2}$$

Tā te mea he rite te tauraro o \frac{4}{2} me \frac{5}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{2}x=\frac{4-5}{2}$$

Tangohia te 5 i te 4, ka -1.

$$\frac{7}{2}x=-\frac{1}{2}$$

Me whakarea ngā taha e rua ki te \frac{2}{7}, te tau utu o \frac{7}{2}.

$$x=-\frac{1}{2}\times \frac{2}{7}$$

Me whakarea te -\frac{1}{2} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-2}{2\times 7}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$x=\frac{-1}{7}$$

Ka taea te hautanga \frac{-1}{7} te tuhi anō ko -\frac{1}{7} mā te tango i te tohu tōraro.

$$x=-\frac{1}{7}$$