Solve 15=3.40*10^-6*x/y

$$15=3.40 \times { 10 }^{ -6 } \times \frac{ x }{ y }$$

Solve for x

$$x=\frac{75000000y}{17}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$15y=3.4\times 10^{-6}x$$

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

$$15y=3.4\times \frac{1}{1000000}x$$

Multiply 3.4 and \frac{1}{1000000} to get \frac{17}{5000000}.

$$15y=\frac{17}{5000000}x$$

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

$$\frac{17}{5000000}x=15y$$

Divide both sides of the equation by \frac{17}{5000000}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{17}{5000000}x}{\frac{17}{5000000}}=\frac{15y}{\frac{17}{5000000}}$$

Dividing by \frac{17}{5000000} undoes the multiplication by \frac{17}{5000000}.

$$x=\frac{15y}{\frac{17}{5000000}}$$

Divide 15y by \frac{17}{5000000} by multiplying 15y by the reciprocal of \frac{17}{5000000}.

$$x=\frac{75000000y}{17}$$

Solve for y

$$y=\frac{17x}{75000000}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$15y=3.4\times 10^{-6}x$$

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

$$15y=3.4\times \frac{1}{1000000}x$$

Multiply 3.4 and \frac{1}{1000000} to get \frac{17}{5000000}.

$$15y=\frac{17}{5000000}x$$

The equation is in standard form.

$$15y=\frac{17x}{5000000}$$

Divide both sides by 15.

$$\frac{15y}{15}=\frac{17x}{15\times 5000000}$$

Dividing by 15 undoes the multiplication by 15.

$$y=\frac{17x}{15\times 5000000}$$

Divide \frac{17x}{5000000} by 15.

$$y=\frac{17x}{75000000}$$

Variable y cannot be equal to 0.

$$y=\frac{17x}{75000000}\text{, }y\neq 0$$