Whakaoti i te 2x-5/8-3x+4/7=-2

$$\frac { 2 x - 5 } { 8 } - \frac { 3 x + 4 } { 7 } = - 2$$

Whakaoti mō x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 56, arā, te tauraro pātahi he tino iti rawa te kitea o 8,7.

$$7\left(2x-5\right)-8\left(3x+4\right)=-112$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 2x-5.

$$14x-35-8\left(3x+4\right)=-112$$

Whakamahia te āhuatanga tohatoha hei whakarea te -8 ki te 3x+4.

$$14x-35-24x-32=-112$$

Pahekotia te 14x me -24x, ka -10x.

$$-10x-35-32=-112$$

Tangohia te 32 i te -35, ka -67.

$$-10x-67=-112$$

Me tāpiri te 67 ki ngā taha e rua.

$$-10x=-112+67$$

Tāpirihia te -112 ki te 67, ka -45.

$$-10x=-45$$

Whakawehea ngā taha e rua ki te -10.

$$x=\frac{-45}{-10}$$

Whakahekea te hautanga \frac{-45}{-10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -5.

$$x=\frac{9}{2}$$