Issolvi 7(3a-4)-3(4a+5)-(6a+2)=a+8(4a-9)+1

$$7 ( 3 a - 4 ) - 3 ( 4 a + 5 ) - ( 6 a + 2 ) = a + 8 ( 4 a - 9 ) + 1$$

Solvi għal a

$$a=\frac{13}{15}\approx 0.866666667$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 7 b'3a-4.

$$21a-28-3\left(4a+5\right)-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'4a+5.

$$21a-28-12a-15-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

Ikkombina 21a u -12a biex tikseb 9a.

$$9a-28-15-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

Naqqas 15 minn -28 biex tikseb -43.

$$9a-43-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

Biex issib l-oppost ta' 6a+2, sib l-oppost ta' kull terminu.

$$9a-43-6a-2=a+8\left(4a-9\right)+1$$

Ikkombina 9a u -6a biex tikseb 3a.

$$3a-43-2=a+8\left(4a-9\right)+1$$

Naqqas 2 minn -43 biex tikseb -45.

$$3a-45=a+8\left(4a-9\right)+1$$

Uża l-propjetà distributtiva biex timmultiplika 8 b'4a-9.

$$3a-45=a+32a-72+1$$

Ikkombina a u 32a biex tikseb 33a.

$$3a-45=33a-72+1$$

Żid -72 u 1 biex tikseb -71.

$$3a-45=33a-71$$

Naqqas 33a miż-żewġ naħat.

$$3a-45-33a=-71$$

Ikkombina 3a u -33a biex tikseb -30a.

$$-30a-45=-71$$

Żid 45 maż-żewġ naħat.

$$-30a=-71+45$$

Żid -71 u 45 biex tikseb -26.

$$-30a=-26$$

Iddividi ż-żewġ naħat b'-30.

$$a=\frac{-26}{-30}$$

Naqqas il-frazzjoni \frac{-26}{-30} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -2.

$$a=\frac{13}{15}$$