In each of these questions, two equations are given. You have to solve these equations and nd out the values of x and y and :
Give answer
a:if x < y
b: if x > y
c: if x ≤ y
d: if x ≥ y
e: if x = y
I. 4x + 7y = 209
II. 12x- 14y = - 38
I : 4x + 7y = 209
II : 12x - 14y = -38
Multiplying equation (1) by 2 and adding both equations, we get :
=> $$(8x + 14y) + (12x - 14y) = 418 - 38$$
=> $$20x = 380$$
=> $$x = \frac{380}{20} = 19$$
Now, substituting value of x in equation (1)
=> $$(4 \times 19) + 7y = 209$$
=> $$7y = 209 - 76 = 133$$
=> $$y = \frac{133}{7} = 19$$
$$\therefore x = y$$
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