Answer:
[tex]\frac{2a-2b}{5a+5b} =\frac{2}{5c}[/tex]
Step-by-step explanation:
[tex]\frac{a+b}{a-b} =c[/tex]
[tex]\Longleftrightarrow \frac{a-b}{a+b} =\frac{1}{c}[/tex]
[tex]\Longleftrightarrow \frac{2}{5} \times \frac{a-b}{a+b} =\frac{2}{5} \times \frac{1}{c}[/tex]
[tex]\Longleftrightarrow \frac{2\times(a-b)}{5\times(a+b)} = \frac{2\times1}{5\times c}[/tex]
[tex]\Longrightarrow \frac{2a-2b}{5a+5b} =\frac{2}{5c}[/tex]
