Find the solution to the system of equations. You can use the interactive graph below to find the solution. {:[{[-2x+2y=-4],[3x+3y=-18]:}],[x=◻],[y=◻]:}

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Find the solution to the system of equations. You can use the interactive graph below to find the solution.  {:[{[-2x+2y=-4],[3x+3y=-18]:}],[x=◻],[y=◻]:}

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Write Equations: Write down the system of equations. The system of equations is given by: -2x + 2y = -4 3x + 3y = -18Simplify Equations: Simplify the equations if possible. Both equations can be simplified by dividing by the common factor of the coefficients. For the first equation, divide by 2: -2x/2 + 2y/2 = -4/2 Which simplifies to: -x + y = -2 For the second equation, divide by 3: 3x/3 + 3y/3 = -18/3 Which simplifies to: x + y = -6Solve Simplified System: Solve the simplified system of equations. We now have the system: -x + y = -2 x + y = -6 We can add the two equations together to eliminate x: (-x + y) + (x + y) = -2 + (-6) This simplifies to: 2y = -8Solve for y: Solve for y. Divide both sides of the equation by 2 to solve for y: 2y/2 = -8/2 y = -4Substitute and Solve for x: Substitute the value of y back into one of the simplified equations to solve for x. Using the equation x + y = -6, substitute y = -4: x + (-4) = -6 x - 4 = -6 Add 4 to both sides to solve for x: x - 4 + 4 = -6 + 4 x = -2

Find the solution to the system of equations. $\newline$ You can use the interactive graph below to find the solution. $\newline$ $\begin{array}{l} \left\{\begin{array}{l} -2 x+2 y=-4 \\ 3 x+3 y=-18 \end{array}\right. \\ x=\square \\ y=\square \end{array}$

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