Solve y=a(1/2)^x+q

$$y = a ( \frac { 1 } { 2 } ) ^ { x } + q$$

Solve for a

$$a=\left(y-q\right)\times 2^{x}$$

Steps for Solving Linear Equation

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

$$a\times \left(\frac{1}{2}\right)^{x}+q=y$$

Subtract q from both sides.

$$a\times \left(\frac{1}{2}\right)^{x}=y-q$$

The equation is in standard form.

$$\left(\frac{1}{2}\right)^{x}a=y-q$$

Divide both sides by \left(\frac{1}{2}\right)^{x}.

$$\frac{\left(\frac{1}{2}\right)^{x}a}{\left(\frac{1}{2}\right)^{x}}=\frac{y-q}{\left(\frac{1}{2}\right)^{x}}$$

Dividing by \left(\frac{1}{2}\right)^{x} undoes the multiplication by \left(\frac{1}{2}\right)^{x}.

$$a=\frac{y-q}{\left(\frac{1}{2}\right)^{x}}$$

Divide y-q by \left(\frac{1}{2}\right)^{x}.

$$a=\left(y-q\right)\times 2^{x}$$

Solve for q

$$q=y-a\times \left(\frac{1}{2}\right)^{x}$$