Find the solution of the system of equations. {:[8x+2y=-2],[4x-5y=-19]:}

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Find the solution of the system of equations.  {:[8x+2y=-2],[4x-5y=-19]:}

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Write Equations: Write down the system of equations to be solved. We have the following system of equations: 8x + 2y = -2 4x - 5y = -19 Our goal is to find the values of x and y that satisfy both equations simultaneously.Multiply Second Equation: Multiply the second equation by 2 to make the coefficient of x in both equations the same. Multiplying the second equation by 2 gives us: 2 * (4x - 5y) = 2 * (-19) Which simplifies to: 8x - 10y = -38Eliminate x: Subtract the new equation from the first equation to eliminate x. (8x + 2y) - (8x - 10y) = -2 - (-38) This simplifies to: 8x + 2y - 8x + 10y = -2 + 38 Which further simplifies to: 12y = 36Solve for y: Solve for y. Divide both sides of the equation by 12 to isolate y: 12y / 12 = 36 / 12 y = 3Substitute and Solve for x: Substitute y = 3 into one of the original equations to solve for x. We can use the second original equation for this purpose: 4x - 5y = -19 Substitute y with 3: 4x - 5(3) = -19 Which simplifies to: 4x - 15 = -19Solve for x. Add 15 to both sides of the equation to isolate the term with x: 4x - 15 + 15 = -19 + 15 Which simplifies to: 4x = -4 Now, divide both sides by 4 to solve for x: 4x / 4 = -4 / 4 x = -1

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 8 x+2 y=-2 \\ 4 x-5 y=-19 \end{array}$

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Find the solution of the system of equations.\newline8x+2y=−24x−5y=−19 \begin{array}{l} 8 x+2 y=-2 \\ 4 x-5 y=-19 \end{array} 8x+2y=−24x−5y=−19​

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 8 x+2 y=-2 \\ 4 x-5 y=-19 \end{array}$