Find the solution of the system of equations. {:[-2x-9y=19],[8x-8y=-32]:}

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Find the solution of the system of equations.  {:[-2x-9y=19],[8x-8y=-32]:}

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Simplify Second Equation: Let's start by simplifying the second equation by dividing all terms by 8 to make the coefficient of x equal to 1. Divide 8x by 8 to get x. Divide -8y by 8 to get -y. Divide -32 by 8 to get -4. The simplified second equation is x - y = -4.Solve for x: Now, let's solve the simplified second equation for x. x = y - 4 We will use this expression for x in the first equation to solve for y.Substitute x into First Equation: Substitute x = y - 4 into the first equation -2x - 9y = 19. -2(y - 4) - 9y = 19 Distribute -2 to both y and -4. -2y + 8 - 9y = 19 Combine like terms. -11y + 8 = 19Solve for y: Now, let's solve for y. Subtract 8 from both sides of the equation. -11y + 8 - 8 = 19 - 8 -11y = 11 Divide both sides by -11. y = 11 / -11 y = -1Substitute y into x Expression: With the value of y found, we can now substitute y = -1 into the expression for x we found in Step 2. x = y - 4 x = -1 - 4 x = -5

Find the solution of the system of equations. $\newline$ $\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}$

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Find the solution of the system of equations.\newline−2x−9yamp;=198x−8yamp;=−32 \begin{aligned} -2 x-9 y &amp; =19 \\ 8 x-8 y &amp; =-32 \end{aligned} −2x−9y8x−8y​amp;=19amp;=−32​

Find the solution of the system of equations. $\newline$ $\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}$