Question

In the following question, two equations I and II are given. You have to solve both the equations and give answer.
I. $4x+3y=16$
II. $2x+2y=9$

• A. If X$>$Y
• B. If X$>=$Y
• C. If X$<$Y
• D. If X$=<$Y
• E. If X$=$Y or the relationship cannot be determined

Answer 1

The correct option is A If X$>$Y

$4x+3y=16---eqn\left(1\right)$

$2x+2y=9---eqn\left(2\right)$

Multiplying $eqn\left(2\right)$ with $2$ we get,

$4x+4y=18---eqn\left(3\right)$

Substracting $eqn\left(1\right)$ from $eqn\left(3\right)$ we get,

$y=2$

Substituting $y=2$ in $eqn\left(2\right)$ we get,

$2x+4=9$

$⟹x=\frac{5}{2}=2.5$

$⟹x>y$