| Direction: In the following questions two equations numbered I and II have been given. Solve both the equations and give answer. |
A) \[x<y\]
B) \[x>y\]
C) \[x=y\] or no relation can be established
D) \[x<y\]
E) \[x>y\]
Correct Answer: E
Solution :
\[9x-8y=22~~~~...\text{ }(i)\] \[3x+9y=54~~~~...\text{ }(ii)\] Equation \[(i)\text{ }-\text{ }(ii)\text{ }\times \text{ }3\] \[\begin{align} & \underline{\begin{align} & \,\,\,\,9x-8y=22 \\ & \_\,9x\pm 27y=162 \\ \end{align}} \\ & -35y=-140 \\ \end{align}\] \[\therefore y=\frac{140}{35}=4\] Putting the value of y in equation (i), we get \[x=6\] \[\text{Hence }x>y\]
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