Resolver 2(0.0891+(1.07*10^-6x)/5.71*10^-6)+y=6000

$$2( \frac{ 0.0891+(1.07 \times { 10 }^{ -6 } x) }{ 5.71 \times { 10 }^{ -6 } } )+y=6000$$

Ebatzi: x

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Ekuazio lineala ebazteko urratsak

\frac{1}{1000000} lortzeko, egin 10 ber -6.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

\frac{107}{100000000} lortzeko, biderkatu 1.07 eta \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

\frac{1}{1000000} lortzeko, egin 10 ber -6.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

\frac{571}{100000000} lortzeko, biderkatu 5.71 eta \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Zatitu 0.0891+\frac{107}{100000000}x ekuazioko gai bakoitza \frac{571}{100000000} balioarekin, \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}} lortzeko.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Zatitu 0.0891 balioa \frac{571}{100000000} frakzioarekin, 0.0891 balioa \frac{571}{100000000} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

\frac{8910000}{571} lortzeko, biderkatu 0.0891 eta \frac{100000000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

\frac{107}{571}x lortzeko, zatitu \frac{107}{100000000}x \frac{571}{100000000} balioarekin.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Erabili banaketa-propietatea 2 eta \frac{8910000}{571}+\frac{107}{571}x biderkatzeko.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Kendu \frac{17820000}{571} bi aldeetatik.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

-\frac{14394000}{571} lortzeko, 6000 balioari kendu \frac{17820000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Kendu y bi aldeetatik.

$$\frac{214}{571}x=-\frac{14394000}{571}-y$$

Modu arruntean dago ekuazioa.

$$\frac{214}{571}x=-y-\frac{14394000}{571}$$

Zatitu ekuazioaren bi aldeak \frac{214}{571} balioarekin. Bi aldeak frakzioaren frakzio erreziprokoarekin biderkatzearen berdina da.

$$\frac{\frac{214}{571}x}{\frac{214}{571}}=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

\frac{214}{571} balioarekin zatituz gero, \frac{214}{571} balioarekiko biderketa desegiten da.

$$x=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

Zatitu -\frac{14394000}{571}-y balioa \frac{214}{571} frakzioarekin, -\frac{14394000}{571}-y balioa \frac{214}{571} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Ebatzi: y

$$y=\frac{-214x-14394000}{571}$$

Ebazpidea

\frac{1}{1000000} lortzeko, egin 10 ber -6.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

\frac{107}{100000000} lortzeko, biderkatu 1.07 eta \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

\frac{1}{1000000} lortzeko, egin 10 ber -6.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

\frac{571}{100000000} lortzeko, biderkatu 5.71 eta \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Zatitu 0.0891+\frac{107}{100000000}x ekuazioko gai bakoitza \frac{571}{100000000} balioarekin, \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}} lortzeko.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Zatitu 0.0891 balioa \frac{571}{100000000} frakzioarekin, 0.0891 balioa \frac{571}{100000000} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

\frac{8910000}{571} lortzeko, biderkatu 0.0891 eta \frac{100000000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

\frac{107}{571}x lortzeko, zatitu \frac{107}{100000000}x \frac{571}{100000000} balioarekin.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Erabili banaketa-propietatea 2 eta \frac{8910000}{571}+\frac{107}{571}x biderkatzeko.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Kendu \frac{17820000}{571} bi aldeetatik.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

-\frac{14394000}{571} lortzeko, 6000 balioari kendu \frac{17820000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Kendu \frac{214}{571}x bi aldeetatik.

$$y=-\frac{14394000}{571}-\frac{214}{571}x$$