Rešite 6(-9/2x+9y-3/2)+8(8x+7y-5/4)

$$6 ( - \frac { 9 } { 2 } x + 9 y - \frac { 3 } { 2 } ) + 8 ( 8 x + 7 y - \frac { 5 } { 4 } )$$

Ovrednoti

$$37x+110y-19$$

Koraki rešitve

Uporabite distributivnost, da pomnožite 6 s/z -\frac{9}{2}x+9y-\frac{3}{2}.

$$6\left(-\frac{9}{2}\right)x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Izrazite 6\left(-\frac{9}{2}\right) kot enojni ulomek.

$$\frac{6\left(-9\right)}{2}x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Pomnožite 6 in -9, da dobite -54.

$$\frac{-54}{2}x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Delite -54 s/z 2, da dobite -27.

$$-27x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Izrazite 6\left(-\frac{3}{2}\right) kot enojni ulomek.

$$-27x+54y+\frac{6\left(-3\right)}{2}+8\left(8x+7y-\frac{5}{4}\right)$$

Pomnožite 6 in -3, da dobite -18.

$$-27x+54y+\frac{-18}{2}+8\left(8x+7y-\frac{5}{4}\right)$$

Delite -18 s/z 2, da dobite -9.

$$-27x+54y-9+8\left(8x+7y-\frac{5}{4}\right)$$

Uporabite distributivnost, da pomnožite 8 s/z 8x+7y-\frac{5}{4}.

$$-27x+54y-9+64x+56y+8\left(-\frac{5}{4}\right)$$

Izrazite 8\left(-\frac{5}{4}\right) kot enojni ulomek.

$$-27x+54y-9+64x+56y+\frac{8\left(-5\right)}{4}$$

Pomnožite 8 in -5, da dobite -40.

$$-27x+54y-9+64x+56y+\frac{-40}{4}$$

Delite -40 s/z 4, da dobite -10.

$$-27x+54y-9+64x+56y-10$$

Združite -27x in 64x, da dobite 37x.

$$37x+54y-9+56y-10$$

Združite 54y in 56y, da dobite 110y.

$$37x+110y-9-10$$

Odštejte 10 od -9, da dobite -19.

$$37x+110y-19$$

Razširi

$$37x+110y-19$$

Koraki rešitve

Uporabite distributivnost, da pomnožite 6 s/z -\frac{9}{2}x+9y-\frac{3}{2}.

$$6\left(-\frac{9}{2}\right)x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Izrazite 6\left(-\frac{9}{2}\right) kot enojni ulomek.

$$\frac{6\left(-9\right)}{2}x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Pomnožite 6 in -9, da dobite -54.

$$\frac{-54}{2}x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Delite -54 s/z 2, da dobite -27.

$$-27x+54y+6\left(-\frac{3}{2}\right)+8\left(8x+7y-\frac{5}{4}\right)$$

Izrazite 6\left(-\frac{3}{2}\right) kot enojni ulomek.

$$-27x+54y+\frac{6\left(-3\right)}{2}+8\left(8x+7y-\frac{5}{4}\right)$$

Pomnožite 6 in -3, da dobite -18.

$$-27x+54y+\frac{-18}{2}+8\left(8x+7y-\frac{5}{4}\right)$$

Delite -18 s/z 2, da dobite -9.

$$-27x+54y-9+8\left(8x+7y-\frac{5}{4}\right)$$

Uporabite distributivnost, da pomnožite 8 s/z 8x+7y-\frac{5}{4}.

$$-27x+54y-9+64x+56y+8\left(-\frac{5}{4}\right)$$

Izrazite 8\left(-\frac{5}{4}\right) kot enojni ulomek.

$$-27x+54y-9+64x+56y+\frac{8\left(-5\right)}{4}$$

Pomnožite 8 in -5, da dobite -40.

$$-27x+54y-9+64x+56y+\frac{-40}{4}$$

Delite -40 s/z 4, da dobite -10.

$$-27x+54y-9+64x+56y-10$$

Združite -27x in 64x, da dobite 37x.

$$37x+54y-9+56y-10$$

Združite 54y in 56y, da dobite 110y.

$$37x+110y-9-10$$

Odštejte 10 od -9, da dobite -19.

$$37x+110y-19$$