If 2x + y = 23 and 4x – y = 19. Hence, find the values of x – 3y and 5y – 2x [ICSE Class 9 ML Aggarwal Solution Chapter-5 Exercise 5.2 Simultaneous Linear Equations Solution]
2x + y = 23 —(i)
4x – y = 19 —-(ii)
Adding Equations (i) and (ii) We Get,
2x + y + 4x – y =23+19
⟹ 6x = 42
⟹ x = $\frac{42}{6}$
⟹ x =7
Substituting the Value of x in Equation (i) We Get,
2x + y = 23
⟹ 2(7) +y = 23
⟹ 14 + y =23
⟹ y = 23-14
⟹ y = 9
Therefore The Required Solutions are x = 7 and y = 9.
∴ x – 3y = 7-3(9) =7-27= -20 and 5y-2x = 5(9) -2(7) = 45-14 = 31 (Ans)