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

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

Solve for x

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

Steps for Solving Linear Equation

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

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

Multiply 1.07 and \frac{1}{1000000} to get \frac{107}{100000000}.

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

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

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

Multiply 5.71 and \frac{1}{1000000} to get \frac{571}{100000000}.

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

Divide each term of 0.0891+\frac{107}{100000000}x by \frac{571}{100000000} to get \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

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

Divide 0.0891 by \frac{571}{100000000} by multiplying 0.0891 by the reciprocal of \frac{571}{100000000}.

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

Multiply 0.0891 and \frac{100000000}{571} to get \frac{8910000}{571}.

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

Divide \frac{107}{100000000}x by \frac{571}{100000000} to get \frac{107}{571}x.

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

Use the distributive property to multiply 2 by \frac{8910000}{571}+\frac{107}{571}x.

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

Subtract \frac{17820000}{571} from both sides.

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

Subtract \frac{17820000}{571} from 6000 to get -\frac{14394000}{571}.

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

Subtract y from both sides.

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

The equation is in standard form.

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

Divide both sides of the equation by \frac{214}{571}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{214}{571} undoes the multiplication by \frac{214}{571}.

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

Divide -\frac{14394000}{571}-y by \frac{214}{571} by multiplying -\frac{14394000}{571}-y by the reciprocal of \frac{214}{571}.

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

Solve for y

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

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

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

Multiply 1.07 and \frac{1}{1000000} to get \frac{107}{100000000}.

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

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

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

Multiply 5.71 and \frac{1}{1000000} to get \frac{571}{100000000}.

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

Divide each term of 0.0891+\frac{107}{100000000}x by \frac{571}{100000000} to get \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

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

Divide 0.0891 by \frac{571}{100000000} by multiplying 0.0891 by the reciprocal of \frac{571}{100000000}.

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

Multiply 0.0891 and \frac{100000000}{571} to get \frac{8910000}{571}.

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

Divide \frac{107}{100000000}x by \frac{571}{100000000} to get \frac{107}{571}x.

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

Use the distributive property to multiply 2 by \frac{8910000}{571}+\frac{107}{571}x.

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

Subtract \frac{17820000}{571} from both sides.

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

Subtract \frac{17820000}{571} from 6000 to get -\frac{14394000}{571}.

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

Subtract \frac{214}{571}x from both sides.

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