Find the solution of the system of equations. {:[4x+14 y=-46],[-9x-7y=30]:}

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Find the solution of the system of equations.  {:[4x+14 y=-46],[-9x-7y=30]:}

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Write Equations: Write down the system of equations to be solved. We have the system: 4x + 14y = -46 -9x - 7y = 30Eliminate Variable: Look for a way to eliminate one of the variables. We can notice that the coefficients of y in both equations are multiples of 7. We can multiply the second equation by 2 to make the coefficients of y in both equations equal but opposite in sign, which will allow us to add the equations together to eliminate y.Multiply Second Equation: Multiply the second equation by 2. 2(-9x - 7y) = 2(30) -18x - 14y = 60Add Equations: Add the modified second equation to the first equation to eliminate y. (4x + 14y) + (-18x - 14y) = -46 + 60 4x - 18x + 14y - 14y = 14 -14x = 14Solve for x: Solve for x. Divide both sides by -14 to find the value of x. x = 14 / -14 x = -1Substitute for y: Substitute the value of x back into one of the original equations to solve for y. Using the first equation: 4(-1) + 14y = -46 -4 + 14y = -46Solve for y: Solve for y. Add 4 to both sides of the equation to isolate the term with y. 14y = -46 + 4 14y = -42 Divide both sides by 14 to find the value of y. y = -42 / 14 y = -3

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x+14 y & =-46 \\ -9 x-7 y & =30 \end{aligned}$

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Find the solution of the system of equations.\newline4x+14yamp;=−46−9x−7yamp;=30 \begin{aligned} 4 x+14 y &amp; =-46 \\ -9 x-7 y &amp; =30 \end{aligned} 4x+14y−9x−7y​amp;=−46amp;=30​

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x+14 y & =-46 \\ -9 x-7 y & =30 \end{aligned}$