Question

solving equations

1. given m = 2h + 8 solve for h.

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( h \), we subtract 8 from both sides of the equation \( m = 2h + 8 \). This gives us \( m - 8 = 2h + 8 - 8 \), which simplifies to \( m - 8 = 2h \).

Step2: Divide both sides by 2

To solve for \( h \), we divide both sides of the equation \( m - 8 = 2h \) by 2. So we have \( \frac{m - 8}{2}=h \), which can also be written as \( h=\frac{m - 8}{2} \) or \( h=\frac{m}{2}-4 \).

Answer:

\( h=\frac{m - 8}{2} \) (or \( h=\frac{m}{2}-4 \))