2x+y=35 and 3x+4y=65.Hence find the value of x/y [ICSE Class 9 ML Aggarwal Solution of Chapter 5 Exercise 5.1 Question Number 5]
2x+y=35 —-(i)
3x+4y=65 —-(ii)
From Equation (i) we get,
y= 35-2x —-(iii)
Substituting the value of y in equation (ii) we get,
3x+4(35-2x) =65
⟹ 3x+140-8x=65
⟹ 140-5x=65
⟹ 140-65= 5x
⟹ 75 =5x
⟹ x =$\frac{75}{5}$
⟹ x=15
From equation (iii) we get,
y=35-2(15)
⟹ y=35-30
⟹ y= 5
Therefore Required Solutions are x=15 , y=5
$\therefore \frac{x}{y} = \frac{15}{5} = 3$ [Ans]