Solve 1.2*100=200x+y*10^-3

$$1.2 \times 100=200x+y \times { 10 }^{ -3 }$$

Solve for x

$$x=-\frac{y}{200000}+0.6$$

Steps for Solving Linear Equation

Multiply 1.2 and 100 to get 120.

$$120=200x+y\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$120=200x+y\times \frac{1}{1000}$$

Swap sides so that all variable terms are on the left hand side.

$$200x+y\times \frac{1}{1000}=120$$

Subtract y\times \frac{1}{1000} from both sides.

$$200x=120-y\times \frac{1}{1000}$$

Multiply -1 and \frac{1}{1000} to get -\frac{1}{1000}.

$$200x=120-\frac{1}{1000}y$$

The equation is in standard form.

$$200x=-\frac{y}{1000}+120$$

Divide both sides by 200.

$$\frac{200x}{200}=\frac{-\frac{y}{1000}+120}{200}$$

Dividing by 200 undoes the multiplication by 200.

$$x=\frac{-\frac{y}{1000}+120}{200}$$

Divide 120-\frac{y}{1000} by 200.

$$x=-\frac{y}{200000}+\frac{3}{5}$$

Solve for y

$$y=120000-200000x$$

Steps for Solving Linear Equation

Multiply 1.2 and 100 to get 120.

$$120=200x+y\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$120=200x+y\times \frac{1}{1000}$$

Swap sides so that all variable terms are on the left hand side.

$$200x+y\times \frac{1}{1000}=120$$

Subtract 200x from both sides.

$$y\times \frac{1}{1000}=120-200x$$

The equation is in standard form.

$$\frac{1}{1000}y=120-200x$$

Multiply both sides by 1000.

$$\frac{\frac{1}{1000}y}{\frac{1}{1000}}=\frac{120-200x}{\frac{1}{1000}}$$

Dividing by \frac{1}{1000} undoes the multiplication by \frac{1}{1000}.

$$y=\frac{120-200x}{\frac{1}{1000}}$$

Divide 120-200x by \frac{1}{1000} by multiplying 120-200x by the reciprocal of \frac{1}{1000}.

$$y=120000-200000x$$