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$Find the solution of the system of equations. {:[-8x-3y=-24],[-8x-6y=0]:} (_________,________)$

Find the solution of the system of equations. $\newline$ $\begin{array}{l} -8 x-3 y=-24 \\ -8 x-6 y=0 \end{array}$ $\newline$ (_,)

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Write an equation word problem

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Q. Find the solution of the system of equations.

\newline

\begin{array}{l} -8 x-3 y=-24 \\ -8 x-6 y=0 \end{array}

\newline

(_________,________)

Write Equations: First, let's write down the system of equations: $\newline$ $-8x - 3y = -24$ $\newline$ $-8x - 6y = 0$
Eliminate x: Subtract the second equation from the first to eliminate x: $(-8x - 3y) - (-8x - 6y) = -24 - 0$
Simplify Subtraction: Simplify the subtraction: $-8x + 8x - 3y + 6y = -24$
Combine Like Terms: Combine like terms: $3y = -24$
Solve for y: Divide both sides by $3$ to solve for y: $\newline$ $y = \frac{-24}{3}$
Calculate y: Calculate the value of $y$ : $y = -8$
Substitute $y$ into Equation: Now substitute $y = -8$ into one of the original equations to solve for $x$ . Let's use the second equation: $\newline$ $-8x - 6(-8) = 0$
Multiply and Simplify: Multiply $6$ by $-8$ : $-8x + 48 = 0$
Subtract Constant: Subtract $48$ from both sides: $\newline$ $-8x = -48$
Solve for x: Divide both sides by $-8$ to solve for x: $\newline$ $x = \frac{-48}{-8}$
Calculate x: Calculate the value of x: $\newline$ $x = 6$

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