Solving Linear Equations

G

Guest

Guest
Hi
I need help with linear equations involving fractions.

2x/3 -x/4 =5
 

stapel

Super Moderator
Staff member
Joined
Feb 4, 2004
Messages
15,943
A good first step would be to multiply through by the common denominator, thus getting rid of all of the fractions.

If you get stuck after that, please reply showing all of your steps.

Thank you.

Eliz.
 
G

Guest

Guest
bas1106 said:
Hi
I need help with linear equations involving fractions.

2x/3 -x/4 =5
2x/3 - x/4 =5

12 common denominator

2x/3 =3 divide 12 = 4 then 4multiply 2x =8x

Now 4 divide 12 = 3 then mulyiply 3 times x= 3x
Now 5 multiply 12 = 60

Then I have the following

8x - 3x=60

5x=60
DIVIDE
5 5
x=12

This is my thought process.
 

stapel

Super Moderator
Staff member
Joined
Feb 4, 2004
Messages
15,943
Thank you for showing your work! 8-)

To verify your answer, plug it back into the original equation, like this:

. . . . .2x/3 - x/4 = 5

. . . . .2[12]/3 - [12]/4 ?=? 5

. . . . .24/3 - 12/4 ?=? 5

. . . . .8 - 3 ?=? 5

. . . . .5 = 5

Since the solution "checks", it is correct. Good work!

Eliz.
 
G

Guest

Guest
Hello Stapel
Thank you for your help.
 
Top