Issolvi [17x*15+24*(3ax-15x)/20]-3000=500

$$[ 17 x \cdot 15 + 24 \cdot \frac { ( 3 a x - 15 x ) } { 20 } ] - 3000 = 500$$

Solvi għal a

$$a=-\frac{395}{6}+\frac{8750}{9x}$$

$$x\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'20.

$$340x\times 15+24\left(3ax-15x\right)-60000=10000$$

Immultiplika 340 u 15 biex tikseb 5100.

$$5100x+24\left(3ax-15x\right)-60000=10000$$

Uża l-propjetà distributtiva biex timmultiplika 24 b'3ax-15x.

$$5100x+72xa-360x-60000=10000$$

Ikkombina 5100x u -360x biex tikseb 4740x.

$$4740x+72xa-60000=10000$$

Naqqas 4740x miż-żewġ naħat.

$$72xa-60000=10000-4740x$$

Żid 60000 maż-żewġ naħat.

$$72xa=10000-4740x+60000$$

Żid 10000 u 60000 biex tikseb 70000.

$$72xa=70000-4740x$$

Iddividi ż-żewġ naħat b'72x.

$$\frac{72xa}{72x}=\frac{70000-4740x}{72x}$$

Meta tiddividi b'72x titneħħa l-multiplikazzjoni b'72x.

$$a=\frac{70000-4740x}{72x}$$

Iddividi 70000-4740x b'72x.

$$a=-\frac{395}{6}+\frac{8750}{9x}$$

Solvi għal x

$$x=\frac{17500}{3\left(6a+395\right)}$$

$$a\neq -\frac{395}{6}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'20.

$$340x\times 15+24\left(3ax-15x\right)-60000=10000$$

Immultiplika 340 u 15 biex tikseb 5100.

$$5100x+24\left(3ax-15x\right)-60000=10000$$

Uża l-propjetà distributtiva biex timmultiplika 24 b'3ax-15x.

$$5100x+72ax-360x-60000=10000$$

Ikkombina 5100x u -360x biex tikseb 4740x.

$$4740x+72ax-60000=10000$$

Żid 60000 maż-żewġ naħat.

$$4740x+72ax=10000+60000$$

Żid 10000 u 60000 biex tikseb 70000.

$$4740x+72ax=70000$$

Ikkombina t-termini kollha li fihom x.

$$\left(4740+72a\right)x=70000$$

L-ekwazzjoni hija f'forma standard.

$$\left(72a+4740\right)x=70000$$

Iddividi ż-żewġ naħat b'4740+72a.

$$\frac{\left(72a+4740\right)x}{72a+4740}=\frac{70000}{72a+4740}$$

Meta tiddividi b'4740+72a titneħħa l-multiplikazzjoni b'4740+72a.

$$x=\frac{70000}{72a+4740}$$

Iddividi 70000 b'4740+72a.

$$x=\frac{17500}{3\left(6a+395\right)}$$