Solve frac{y_{0}}{1}*(-1/4)+1/16=0

$$\frac { y _ { 0 } } { 1 } \cdot ( - \frac { 1 } { 4 } ) + \frac { 1 } { 16 } = 0$$

Solve for y_0

$$y_{0}=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 4,16.

$$16y_{0}\left(-\frac{1}{4}\right)+1=0$$

Express 16\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{16\left(-1\right)}{4}y_{0}+1=0$$

Multiply 16 and -1 to get -16.

$$\frac{-16}{4}y_{0}+1=0$$

Divide -16 by 4 to get -4.

$$-4y_{0}+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-4y_{0}=-1$$

Divide both sides by -4.

$$y_{0}=\frac{-1}{-4}$$

Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.

$$y_{0}=\frac{1}{4}$$