| Direction: In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. Give answer |
| I.\[7x+5y=92\] |
| II.\[4x-3y=35\] |
A) if\[x>y\]
B) if\[x\ge y\]
C) if\[x<y\]
D) if\[x\le y\]
E) if \[x=y\] or relationship between \[x\] and \[y\] can't be established.
Correct Answer: A
Solution :
I.\[7x+5y=92\] ...(i) II. \[4x-3y=35\] ...(ii) Multiplying equation (i) by 4 and equation (ii) by 7, we get \[\begin{align} & \underline{\begin{align} & 28x+20y=368 \\ & 28x-21y=245 \\ & -\,\,\,\,\,\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\, \\ \end{align}} \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,41y=123 \\ \end{align}\] Putting the value of y in equation (i), we get\[7x+5\times 3=92\] or, \[7x=92-15=77\] Hence\[x>y\]
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