Solve the equation and also verify your solution:2/3(x – 5) – 1/4(

1.	Solve the equation and also verify your solution:2/3(x – 5) – 1/4(x – 2) = 9/2
Answer» We have, 2/3(x – 5) – 1/4(x – 2) = 9/2 Upon expansion we get, 2x/3 – 10/3 – x/4 + 2/4 = 9/2 2x/3 – 10/3 – x/4 + 1/2 = 9/2 2x/3 – x/4 = 9/2 + 10/3 – 1/2 By taking LCM for (3 and 4 is 12) (2 and 3 is 6) (2x×4)/12 – (x×3)/12 = (9×3)/6 + (10×2)/6 – (1×3)/6 8x/12 – 3x/12 = 27/6 + 20/6 – 3/6 (8x-3x)/12 = (27+20-3)6 5x/12 = 44/6 By using cross-multiplication we get, 5x×6 = 44×12 30x = 528 x = 528/30 = 264/15 = 88/5

Solve the equation and also verify your solution:2/3(x – 5) – 1/4(x – 2) = 9/2

Answer»

We have,

2/3(x – 5) – 1/4(x – 2) = 9/2

Upon expansion we get,

2x/3 – 10/3 – x/4 + 2/4 = 9/2

2x/3 – 10/3 – x/4 + 1/2 = 9/2

2x/3 – x/4 = 9/2 + 10/3 – 1/2

By taking LCM for (3 and 4 is 12) (2 and 3 is 6)

(2x×4)/12 – (x×3)/12 = (9×3)/6 + (10×2)/6 – (1×3)/6

8x/12 – 3x/12 = 27/6 + 20/6 – 3/6

(8x-3x)/12 = (27+20-3)6

5x/12 = 44/6

By using cross-multiplication we get,

5x×6 = 44×12

30x = 528

x = 528/30

= 264/15

= 88/5