Solve the rational equation (x-2)/4+x/3=3

Question

anonymous · Answer

Could you please walk me through 2 more so I can try and become comfortable with these? @jim_thompson5910

jim_thompson5910 · Answer

(x-2)/4+x/3=3


12*[(x-2)/4]+12(x/3)=12*3   .... Multiply EVERY term by the LCD 12


(12(x-2))/4 + 12x/3 = 36


3(x-2) + 4x = 36


3x-6 + 4x = 36


I'll let you take over. Tell me what you get at the very end so I can check it.

anonymous · Answer

To simplify in the correct form I got 7x-42=0, is that correct?

jim_thompson5910 · Answer

you're on the right track, what's next?

anonymous · Answer

Then I plug it into the quadratic formula

jim_thompson5910 · Answer

no, you simply solve for x like this

7x-42=0

7x=42

x = 42/7

x = 6

jim_thompson5910 · Answer

the quadratic formula is only used when you have a x^2 term in the equation when you're done simplifying.

anonymous · Answer

Ohh okay

anonymous · Answer

Thank you! I was was over complicating this one =)

jim_thompson5910 · Answer

no problem, happens to me all the time :)