ALGEBRA 8

Find w in the following equation;

3w - w-3 = w

7       2       2

solution

3w - w-3 = w

7       2       2

The LCM of 2, 7 and 2 is 14. So, we multiply by 14 throughout

14x 3w - 14(w-3) = w x 14

      7              2            2

²14x 3w – ⁷14(w-3) = w x 14⁷

         ₁7              ₁2         2₁

2 x 3w - 7(w-3) = w x 7

6w - 7w + 21 = 7w

-w + 21 = 7w

21 = 7w + w

21 = 8w

21 = 8w

8       8

²¹/8 = w

Hence w = ²¹/8

TRY THIS............................

Find a in the following equation:

4a  -  a-3 = 3a

3        2      4