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(D) The given equations are:$4x + 6y - 11 = 0$ ... $(i)$$5x - 8y - 6 = 0$ ... $(ii)$Using the cross-multiplication method for $a_1x + b_1y + c_1 = 0$

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$\left(2, \frac{1}{2}\right)$

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(D) The given equations are:$4x + 6y - 11 = 0$ ... $(i)$$5x - 8y - 6 = 0$ ... $(ii)$Using the cross-multiplication method for $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$:$\frac{x}{b_1c_2 - b_2c_1} = \frac{y}{c_1a_2 - c_2a_1} = \frac{1}{a_1b_2 - a_2b_1}$Here,$a_1 = 4, b_1 = 6, c_1 = -11$ and $a_2 = 5, b_2 = -8, c_2 = -6$.$\frac{x}{(6)(-6) - (-8)(-11)} = \frac{y}{(-11)(5) - (-6)(4)} = \frac{1}{(4)(-8) - (5)(6)}$$\frac{x}{-36 - 88} = \frac{y}{-55 + 24} = \frac{1}{-32 - 30}$$\frac{x}{-124} = \frac{y}{-31} = \frac{1}{-62}$For $x$: $x = \frac{-124}{-62} = 2$For $y$: $y = \frac{-31}{-62} = \frac{1}{2}$Thus,the solution is $(x, y) = (2, \frac{1}{2})$.

Solve the following pairs of equations by the cross-multiplication method:
$4x + 6y = 11$
$5x - 8y = 6$

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Solve the following pairs of equations by the cross-multiplication method:$4x + 6y = 11$$5x - 8y = 6$