Whakaoti i te 5/2x+4=1/2+1/2x

$$\frac { 5 } { 2 } x + 4 = \frac { 1 } { 2 } + \frac { 1 } { 2 } x$$

Whakaoti mō x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{1}{2}x mai i ngā taha e rua.

$$\frac{5}{2}x+4-\frac{1}{2}x=\frac{1}{2}$$

Pahekotia te \frac{5}{2}x me -\frac{1}{2}x, ka 2x.

$$2x+4=\frac{1}{2}$$

Tangohia te 4 mai i ngā taha e rua.

$$2x=\frac{1}{2}-4$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$2x=\frac{1}{2}-\frac{8}{2}$$

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{8}{2}, me tango rāua mā te tango i ō raua taurunga.

$$2x=\frac{1-8}{2}$$

Tangohia te 8 i te 1, ka -7.

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

Whakawehea ngā taha e rua ki te 2.

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

Tuhia te \frac{-\frac{7}{2}}{2} hei hautanga kotahi.

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

Whakareatia te 2 ki te 2, ka 4.

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

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

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