Equations And Inequations Ques 27
I. $5 x+8 y=16$
II. $x-6 y=-12$
Directions : In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer If
(1) $x<y$
(2) $x>y$
(3) $x \leq y$
(4) $x \geq y$
(5) $\quad x=y$ or the relationship cannot be established
(United Bank of India PGDBF Manipal Exam,07.08.2016)
Show Answer
Correct Answer: 27.(1)
Solution: (1) Equation $I-5 \times$ Equation II $5 x+8 y=16$
$\frac{{ }^{5 x-30 y=}+\underset{+}{+60}}{38 y=76}$
$\Rightarrow y=\frac{76}{38}=2$
From equation II,
$x-6 \times 2=-12$
$\Rightarrow x=12-12=0$
Clearly, $x<y$
BETA
