1. You are trying to isolate "F" in the equation
[tex]C=\frac{5}{9}(F-32)[/tex] Multiply 9/5 on both sides
[tex](\frac{9}{5})C=(\frac{9}{5}) \frac{5}{9} (F-32)[/tex]
[tex]\frac{9}{5}C=F-32[/tex] Add 32 on both sides
[tex]\frac{9}{5}C+32=F-32+32[/tex]
[tex]\frac{9}{5}C+32=F[/tex]
THIS IS WRONG
2. You are trying to isolate "y" in the equation
[tex]m=\frac{x+y+z}{3}[/tex] Multiply 3 on both sides
3m = x + y + z Subtract x and z on both sides
3m - x - z = y
THIS IS CORRECT
3. Isolate "r"
[tex]s=\frac{r}{r-1}[/tex] Multiply (r - 1) on both sides
s(r - 1) = r Distribute s into (r - 1)
sr - s = r Subtract sr on both sides
-s = r - sr Factor out r from (r - sr)
-s = r(1 - s) Divide (1 - s) on both sides
[tex]\frac{-s}{1-s}=r[/tex]
THIS IS WRONG
4. Isolate "b"
[tex]A=\frac{1}{2}(a+b)[/tex] Multiply 2 on both sides
2A = a + b Subtract a on both sides
2A - a = b
THIS IS CORRECT
5. Isolate "y"
[tex]m=\frac{x+y}{2}[/tex] Multiply 2 on both sides
2m = x + y Subtract x on both sides
2m - x = y
THIS IS WRONG
The 2nd and 4th one is right
