First, reduce the fraction:
6/10=(p-7)/(p+10)610=p−7p+10
color(Red)cancelcolor(Black)6^3/color(red)cancelcolor(black)10^5=(p-7)/(p+10)
3/5=(p-7)/(p+10)
Cross-multiply:
3(p+10)=5(p-7)
Use the distributive property:
3*p+3*10=5*p-5*7
3p+30=5p-35
3p+30color(blue)+color(blue)35=5p-35color(blue)+color(blue)35
3p+30color(blue)+color(blue)35=5pcolor(red)cancelcolor(black)(color(black)-35color(blue)+color(blue)35)
3p+30color(blue)+color(blue)35=5p
3p+65=5p
3p+65color(blue)-color(blue)(3p)=5pcolor(blue)-color(blue)(3p)
color(red)cancelcolor(black)(3p)+65color(red)cancelcolor(blue)(color(blue)-color(blue)(3p))=5pcolor(blue)-color(blue)(3p)
65=5pcolor(blue)-color(blue)(3p)
65=2p
color(blue)(color(black)65/2)=color(blue)(color(black)(2p)/2)
color(blue)(color(black)65/2)=color(blue)(color(black)(color(red)cancelcolor(black)2p)/color(red)cancelcolor(blue)2)
color(blue)(color(black)65/2)=p
This is the solution. Hope this helped!