Solve {l}{1/3*10^-3(x+1.2*10^4)=y}{3*10^-4(x+1.2*10^4=y}

$$\left. \begin{array} { l } { \frac { 1 } { 3 } \times 10 ^ { - 3 } ( x + 1.2 \times 10 ^ { 4 } ) = y } \\ { 3 \times 10 ^ { - 4 } ( x + 1.2 \times 10 ^ { 4 } = y } \end{array} \right.$$

Solve for x

$$x=3000\left(y-4\right)$$

Steps for Solving Linear Equation

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

$$\frac{1}{3}\times \frac{1}{1000}\left(x+1.2\times 10^{4}\right)=y$$

Multiply \frac{1}{3} and \frac{1}{1000} to get \frac{1}{3000}.

$$\frac{1}{3000}\left(x+1.2\times 10^{4}\right)=y$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{1}{3000}\left(x+1.2\times 10000\right)=y$$

Multiply 1.2 and 10000 to get 12000.

$$\frac{1}{3000}\left(x+12000\right)=y$$

Use the distributive property to multiply \frac{1}{3000} by x+12000.

$$\frac{1}{3000}x+4=y$$

Subtract 4 from both sides.

$$\frac{1}{3000}x=y-4$$

Multiply both sides by 3000.

$$\frac{\frac{1}{3000}x}{\frac{1}{3000}}=\frac{y-4}{\frac{1}{3000}}$$

Dividing by \frac{1}{3000} undoes the multiplication by \frac{1}{3000}.

$$x=\frac{y-4}{\frac{1}{3000}}$$

Divide y-4 by \frac{1}{3000} by multiplying y-4 by the reciprocal of \frac{1}{3000}.

$$x=3000y-12000$$