Solve the equation and also verify your solution:x/2 – 4/5 + x/5 + 3

1.	Solve the equation and also verify your solution:x/2 – 4/5 + x/5 + 3x/10 = 1/5
Answer» We have, x/2 – 4/5 + x/5 + 3x/10 = 1/5 upon solving we get, x/2 + x/5 + 3x/10 = 1/5 + 4/5 by taking LCM for 2, 5 and 10 which is 10 (x×5)/10 + (x×2)/10 + (3x×1)/10 = 5/5 5x/10 + 2x/10 + 3x/10 = 1 (5x+2x+3x)/10 = 1 10x/10 = 1 x = 1 ∴ x = 1

Solve the equation and also verify your solution:x/2 – 4/5 + x/5 + 3x/10 = 1/5

Answer»

We have,

x/2 – 4/5 + x/5 + 3x/10 = 1/5

upon solving we get,

x/2 + x/5 + 3x/10 = 1/5 + 4/5

by taking LCM for 2, 5 and 10 which is 10

(x×5)/10 + (x×2)/10 + (3x×1)/10 = 5/5

5x/10 + 2x/10 + 3x/10 = 1

(5x+2x+3x)/10 = 1

10x/10 = 1

x = 1

∴ x = 1