Solve 2x + y = 35, 3x + 4y = 65. Hence, find the value of

Given, 2x + y = 35 ......(i) 3x + 4y = 65 ......(ii) From (i) we get, y = 35 - 2x ......(iii) Substituting value of y from eqn. (iii) in eqn. (ii) we get, ⟹ 3x + 4(35 - 2x) = 65 ⟹ 3x + 140 - 8x = 65 ⟹ 140 - 5x = 65 ⟹ 5x = 140 - 65 ⟹ 5x = 75 ⟹ x = 15. Substituting value of x in eqn. (iii) we get, ⟹ y = 35 - 2x = 35 - 2(15) = 35 - 30 = 5. ⟹ Hence, x = 15, y = 5 and