Answer: h = 10
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{h}{14}-\frac{2}{7}[/tex]
Add [tex]\frac{2}{7}[/tex] on both sides to isolate [tex]\frac{h}{14}[/tex] .
[tex]\frac{2}{7}+ \frac{3}{7}=\frac{h}{14}-\frac{2}{7}+\frac{2}{7}[/tex]
[tex]\frac{2+3}{7}=\frac{h}{14}[/tex]
[tex]\frac{5}{7}=\frac{h}{14}[/tex]
Multiply by 14 on both sides.
[tex]14*\frac{5}{7}=\frac{h}{14}*14[/tex]
14 and 7 can be simplified.
14/7=2
7/7=1
[tex]2*5=h[/tex]
[tex]10=h[/tex]
