Find the solution of the system of equations. {:[8x-5y=-14],[-8x+y=22]:}(_________,________)"

Combine equations: Add the two equations together to eliminate x. (8x - 5y) + (-8x + y) = -14 + 22 Simplify the left side: 8x - 8x - 5y + y = 0x - 4y Simplify the right side: -14 + 22 = 8 So, -4y = 8Simplify left side: Divide both sides by -4 to solve for y. -4y / -4 = 8 / -4 y = -2Simplify right side: Substitute y = -2 into one of the original equations to solve for x. Let's use the second equation: -8x + y = 22 Substitute y: -8x + (-2) = 22 Simplify: -8x - 2 = 22Divide by -4: Add 2 to both sides to isolate the term with x. -8x - 2 + 2 = 22 + 2 -8x = 24Substitute y into equation: Divide both sides by -8 to solve for x. -8x / -8 = 24 / -8 x = -3

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Q. Find the solution of the system of equations.

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\begin{array}{l} 8 x-5 y=-14 \\ -8 x+y=22 \end{array}

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(_________,________)

Combine equations: Add the two equations together to eliminate $x$ .
$(8x - 5y) + (-8x + y) = -14 + 22$
Simplify the left side: $8x - 8x - 5y + y = 0x - 4y$
Simplify the right side: $-14 + 22 = 8$
So, $-4y = 8$
Simplify left side: Divide both sides by $-4$ to solve for $y$ . $\newline$ $-4y / -4 = 8 / -4$ $\newline$ $y = -2$
Simplify right side: Substitute $y = -2$ into one of the original equations to solve for $x$ . Let's use the second equation: $-8x + y = 22$ Substitute $y$ : $-8x + (-2) = 22$ Simplify: $-8x - 2 = 22$
Divide by $-4$ : Add $2$ to both sides to isolate the term with $x$ . $-8x - 2 + 2 = 22 + 2$ $-8x = 24$
Substitute $y$ into equation: Divide both sides by $-8$ to solve for $x$ . $\frac{-8x}{-8} = \frac{24}{-8}$ $x = -3$