Solve 1.6=22.4(y+z/2)

$$1.6=22.4( \frac{ y+z }{ 2 } )$$

Solve for y

$$y=\frac{1}{7}-z$$

Solution Steps

Divide both sides by 22.4.

$$\frac{1.6}{22.4}=\frac{y+z}{2}$$

Expand \frac{1.6}{22.4} by multiplying both numerator and the denominator by 10.

$$\frac{16}{224}=\frac{y+z}{2}$$

Reduce the fraction \frac{16}{224} to lowest terms by extracting and canceling out 16.

$$\frac{1}{14}=\frac{y+z}{2}$$

Multiply both sides by 2.

$$\frac{1}{14}\times 2=y+z$$

Multiply \frac{1}{14} and 2 to get \frac{1}{7}.

$$\frac{1}{7}=y+z$$

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

$$y+z=\frac{1}{7}$$

Subtract z from both sides.

$$y=\frac{1}{7}-z$$

Solve for z

$$z=\frac{1}{7}-y$$

Solution Steps

Divide both sides by 22.4.

$$\frac{1.6}{22.4}=\frac{y+z}{2}$$

Expand \frac{1.6}{22.4} by multiplying both numerator and the denominator by 10.

$$\frac{16}{224}=\frac{y+z}{2}$$

Reduce the fraction \frac{16}{224} to lowest terms by extracting and canceling out 16.

$$\frac{1}{14}=\frac{y+z}{2}$$

Multiply both sides by 2.

$$\frac{1}{14}\times 2=y+z$$

Multiply \frac{1}{14} and 2 to get \frac{1}{7}.

$$\frac{1}{7}=y+z$$

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

$$y+z=\frac{1}{7}$$

Subtract y from both sides.

$$z=\frac{1}{7}-y$$