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(D) Given equations:$8x + 7y = 135$  ---$(1)$$5x + 6y = 99$  ---$(2)$To solve,multiply eq$(1)$ by $5$ and eq$(2)$ by $8$:$40x + 35y = 675$  ---$(3)$$4

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if $x = y$ or relationship between $x$ and $y$ cannot be established.

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(D) Given equations:$8x + 7y = 135$  ---$(1)$$5x + 6y = 99$  ---$(2)$To solve,multiply eq$(1)$ by $5$ and eq$(2)$ by $8$:$40x + 35y = 675$  ---$(3)$$40x + 48y = 792$  ---$(4)$Subtract eq$(3)$ from eq$(4)$:$(40x + 48y) - (40x + 35y) = 792 - 675$$13y = 117$$y = 9$Substitute $y = 9$ into eq$(1)$:$8x + 7(9) = 135$$8x + 63 = 135$$8x = 72$$x = 9$Since $x = 9$ and $y = 9$,therefore $x = y$.

Solve the given two equations and select the correct option based on the relationship between $x$ and $y$. The equations are: $8x + 7y = 135$ and $5x + 6y = 99$.

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