How to solve the following equations? 1. 5+ x= 1/2-1/3'" "2. 1/4+x =1/2-1/3," "3. 1-1/2+m=3/4+1/2

2 Answers
Feb 18, 2018

1) x=-29/6, 2) x=-1/12, 3) m=3/4

Explanation:

enter image source here

Feb 18, 2018

1. x = -4 5/6
2. x = -1/12

3. m =3/4

Explanation:

1." " 5+ x= 1/2-1/3" "larr find the common denominator

5+x = (3-2)/6" "larr make equivalent fractions.

5 +x = 1/6

x = 1/6-5" "larr each whole is made up of 6/6

x =-4 5/6" "larr take one away. (-4 6/6+1/6 = -4 5/6)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2. 1/4+x =1/2-1/3

x = 1/6 -1/4" "larr the LCD 12

x = (2-3)/12

x = -1/12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3. You can do this one by knowing that:

1/2 +1/2 =1" and "1/4+1/4 = 1/2

It should not be necessary to find common denominators.

color(blue)(1-1/2)+m=3/4color(red)(+1/2)

color(blue)(1/2) +m = 3/4color(red)(+1/4+1/4) = 1 1/4

m = 1 1/4 -color(blue)(1/2)

m = 1 1/4 -color(blue)(1/4-1/4)

m =3/4