Lutasin ang B(6)-A(6)=5000(1+46%/4)^24-5000(1+4.5%)^6

$$B ( 6 ) - A ( 6 ) = 5000 ( 1 + \frac { 46 \% } { 4 } ) ^ { 24 } - 5000 ( 1 + 4.5 \% ) ^ { 6 }$$

I-solve ang A

$$A=B-10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

Mga Hakbang sa Pagso-solve ng Linear Equation

Bawasan ang fraction \frac{46}{100} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Ipakita ang \frac{\frac{23}{50}}{4} bilang isang single fraction.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-multiply ang 50 at 4 para makuha ang 200.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Idagdag ang 1 at \frac{23}{200} para makuha ang \frac{223}{200}.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Kalkulahin ang \frac{223}{200} sa power ng 24 at kunin ang \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-multiply ang 5000 at \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} para makuha ang \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-expand ang \frac{4.5}{100} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}$$

Bawasan ang fraction \frac{45}{1000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}$$

Idagdag ang 1 at \frac{9}{200} para makuha ang \frac{209}{200}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}$$

Kalkulahin ang \frac{209}{200} sa power ng 6 at kunin ang \frac{83344647990241}{64000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}$$

I-multiply ang 5000 at \frac{83344647990241}{64000000000000} para makuha ang \frac{83344647990241}{12800000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}$$

I-subtract ang \frac{83344647990241}{12800000000} mula sa \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} para makuha ang \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

I-multiply ang -1 at 6 para makuha ang -6.

$$B\times 6-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

I-subtract ang B\times 6 mula sa magkabilang dulo.

$$-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-B\times 6$$

Ang equation ay nasa standard form.

$$-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B$$

I-divide ang magkabilang dulo ng equation gamit ang -6.

$$\frac{-6A}{-6}=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

Kapag na-divide gamit ang -6, ma-a-undo ang multiplication gamit ang -6.

$$A=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

I-divide ang \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B gamit ang -6.

$$A=B-\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$

I-solve ang B

$$B=A+10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

Mga Hakbang sa Pagso-solve ng Linear Equation

Bawasan ang fraction \frac{46}{100} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Ipakita ang \frac{\frac{23}{50}}{4} bilang isang single fraction.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-multiply ang 50 at 4 para makuha ang 200.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Idagdag ang 1 at \frac{23}{200} para makuha ang \frac{223}{200}.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Kalkulahin ang \frac{223}{200} sa power ng 24 at kunin ang \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-multiply ang 5000 at \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} para makuha ang \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

I-expand ang \frac{4.5}{100} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}$$

Bawasan ang fraction \frac{45}{1000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}$$

Idagdag ang 1 at \frac{9}{200} para makuha ang \frac{209}{200}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}$$

Kalkulahin ang \frac{209}{200} sa power ng 6 at kunin ang \frac{83344647990241}{64000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}$$

I-multiply ang 5000 at \frac{83344647990241}{64000000000000} para makuha ang \frac{83344647990241}{12800000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}$$

I-subtract ang \frac{83344647990241}{12800000000} mula sa \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} para makuha ang \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Idagdag ang A\times 6 sa parehong bahagi.

$$B\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+A\times 6$$

Ang equation ay nasa standard form.

$$6B=6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

I-divide ang magkabilang dulo ng equation gamit ang 6.

$$\frac{6B}{6}=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

Kapag na-divide gamit ang 6, ma-a-undo ang multiplication gamit ang 6.

$$B=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

I-divide ang \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A gamit ang 6.

$$B=A+\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$