How do you solve #4/x+7=6/x#?

Question

Genesis Allen · Accepted Answer

The solution is #x=2/7#.

Multiply everything by #x# to get rid of the #x# in the denominator: #4/x+7=6/x# #4/xcolor(blue)(*x)+7color(blue)(*x)=6/xcolor(blue)(*x)# #4/color(red)cancelcolor(black)xcolor(blue)(*color(red)cancelcolor(blue)x)+7color(blue)(*x)=6/color(red)cancelcolor(black)xcolor(blue)(*color(red)cancelcolor(blue)x)# #4+7color(blue)(*x)=6# #4+7x=6# #4+7xcolor(blue)-color(blue)4=6color(blue)-color(blue)4# #color(red)cancelcolor(black)4+7xcolor(red)cancelcolor(black)(color(blue)-color(blue)4)=6color(blue)-color(blue)4# #7x=6color(blue)-color(blue)4# #7x=2# #color(blue)(color(black)(7x)/7)=color(blue)(color(black)2/7)# #color(blue)(color(black)(color(red)cancelcolor(black)7x)/color(red)cancelcolor(blue)7)=color(blue)(color(black)2/7)# #x=color(blue)(color(black)2/7)# That's the solution. Hope this helped!

Isaiah Anthony · Answer

#2/7# #4/x +7=6/x# #rArr 4/x - 6/x=-7# #rArr (4-6)/x = -7# #rArr -2/x =-7# #rArr x=2/7# Hope this helps :)

Avery Alexander · Answer

undefined To solve the equation 4/x + 7 = 6/x, you can start by getting rid of the denominators by multiplying both sides of the equation by x. This gives you 4 + 7x = 6. Next, you can isolate the variable by subtracting 4 from both sides, resulting in 7x = 2. Finally, divide both sides of the equation by 7 to solve for x, giving you x = 2/7.