{:[{[-8x+4y=24],[-7x+7y=28]:}],[x=]:}

Write Equations: Write down the system of equations. We have the following system of equations: -8x + 4y = 24 -7x + 7y = 28Solve for y: Solve the first equation for y. To isolate y in the first equation, we can divide all terms by 4: -8x + 4y = 24 Divide by 4: -2x + y = 6 Now we have y in terms of x: y = 2x + 6Substitute in Second Equation: Substitute the expression for y into the second equation. We will replace y in the second equation with the expression we found in Step 2: -7x + 7(2x + 6) = 28Combine Like Terms: Distribute and combine like terms. -7x + 14x + 42 = 28 Combine like terms: 7x + 42 = 28Subtract 42: Subtract 42 from both sides of the equation. 7x + 42 - 42 = 28 - 42 This simplifies to: 7x = -14Divide to Solve for x: Divide both sides by 7 to solve for x. 7x / 7 = -14 / 7 This simplifies to: x = -2

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$\begin{array}{l}\left\{\begin{array}{l}-8 x+4 y=24 \\ -7 x+7 y=28\end{array}\right. \\ x=\end{array}$

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\begin{array}{l}\left\{\begin{array}{l}-8 x+4 y=24 \\ -7 x+7 y=28\end{array}\right. \\ x=\end{array}

Write Equations: Write down the system of equations. $\newline$ We have the following system of equations: $\newline$ $-8x + 4y = 24$ $\newline$ $-7x + 7y = 28$
Solve for y: Solve the first equation for y. $\newline$ To isolate $y$ in the first equation, we can divide all terms by $4$ : $\newline$ $-8x + 4y = 24$ $\newline$ Divide by $4$ : $\newline$ $-2x + y = 6$ $\newline$ Now we have $y$ in terms of $x$ : $y = 2x + 6$
Substitute in Second Equation: Substitute the expression for $y$ into the second equation. $\newline$ We will replace $y$ in the second equation with the expression we found in Step $2$ : $\newline$ $-7x + 7(2x + 6) = 28$
Combine Like Terms: Distribute and combine like terms. $\newline$ $-7x + 14x + 42 = 28$ $\newline$ Combine like terms: $\newline$ $7x + 42 = 28$
Subtract $42$ : Subtract $42$ from both sides of the equation. $\newline$ $7x + 42 - 42 = 28 - 42$ $\newline$ This simplifies to: $\newline$ $7x = -14$
Divide to Solve for $x$ : Divide both sides by $7$ to solve for $x$ . $\frac{7x}{7} = \frac{-14}{7}$ This simplifies to: $x = -2$