Solve a=frac{y_{64}}{1/27-1}

$$a = \frac { y _ { 64 } } { 1 / 27 - 1 }$$

Solve for y_64

$$y_{64}=-\frac{26a}{27}$$

Steps for Solving Linear Equation

Subtract 1 from \frac{1}{27} to get -\frac{26}{27}.

$$a=\frac{y_{64}}{-\frac{26}{27}}$$

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

$$\frac{y_{64}}{-\frac{26}{27}}=a$$

The equation is in standard form.

$$-\frac{27}{26}y_{64}=a$$

Divide both sides of the equation by -\frac{27}{26}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{27}{26}y_{64}}{-\frac{27}{26}}=\frac{a}{-\frac{27}{26}}$$

Dividing by -\frac{27}{26} undoes the multiplication by -\frac{27}{26}.

$$y_{64}=\frac{a}{-\frac{27}{26}}$$

Divide a by -\frac{27}{26} by multiplying a by the reciprocal of -\frac{27}{26}.

$$y_{64}=-\frac{26a}{27}$$

Solve for a

$$a=-\frac{27y_{64}}{26}$$