Question

2x+5y=8/3. 3x-2y=5/6 by substitution method​

Answer 1

*Answer:-

The given equations are: -

• 2x – 5y = 8/3 …..(i)
• 3x – 2y = 5/6 ……..(ii)

On multiplying (i) by 2 and

(ii) by 5,

• 4x - 10y = 16/3 …...(iii)
• 15x – 10y = 25/6 ……(iv)

On adding (iii) and (iv), we get:

• → 19x = 57/ 6
• ⇒x = 57/ (6 × 19) = 3/6 = 1/2

On substituting x = 1/2 in (i),

we get:-

• →2 × 1/2 + 5y = 8/3
• ⇒ 5y = ( 8/3 − 1) = 5/3
• ⇒y = 5/ (3 × 5) = 1/3

Hence, the solution is x = 1/2

and y = 1/3