Step-by-step explanation:
The given equation is :
[tex]\dfrac{y-7}{x-5}=\dfrac{2}{6}[/tex]
or
[tex]\dfrac{y-7}{x-5}=\dfrac{1}{3}[/tex]
Cross multiplying both sides:
[tex]3(y-7)=x-5\\\\3y-21=x-5\\\\3y-x=21-5\\\\3y-x=16[/tex]
The simplified equation is 3y-x=16.
