Instructions

In the following questions two equations numbered I and II are given. You have to solve both equations and
Give answer If

a. x ˃ y
b. x ≥ y
c. x ˂ y
d. x ≤ y
e. x = y or the relationship cannot be established

Question 158

I.2x - 3y = - 3.5
II. 3x + 2y = - 6.5

Solution

I : $$2x - 3y = -3.5$$

II : $$3x + 2y = -6.5$$

Multiplying eqn(I) by 2 and eqn(II) by 3, and then adding both equations, we get :

=> $$(4x + 9x) + (-6y + 6y) = (-7 -19.5)$$

=> $$13x = -26.5$$

=> $$x = \frac{-26.5}{13} \approx -2$$

=> $$y = \frac{3x + 6.5}{2} = 0.25$$

Hence $$x < y$$

Create a FREE account and get:

I.2x - 3y = - 3.5II. 3x + 2y = - 6.5