Find the solution of the system of equations. {:[4x-5y=-11],[2x+15 y=47]:}

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Find the solution of the system of equations.  {:[4x-5y=-11],[2x+15 y=47]:}

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Identify Equations: Identify the system of equations to solve. We have the following system of linear equations: 4x - 5y = -11 2x + 15y = 47 We need to find the values of x and y that satisfy both equations simultaneously.Prepare for Elimination: Multiply the second equation by 2 to prepare for elimination. Multiplying the second equation by 2 gives us: 4x + 30y = 94 This will allow us to eliminate x by subtracting this new equation from the first equation.Eliminate x: Subtract the new second equation from the first equation to eliminate x. (4x - 5y) - (4x + 30y) = -11 - 94 This simplifies to: -35y = -105Solve for y: Solve for y. Divide both sides of the equation by -35 to find the value of y: y = -105 / -35 y = 3Substitute and Solve for x: Substitute the value of y into one of the original equations to solve for x. Using the first equation 4x - 5y = -11, we substitute y = 3: 4x - 5(3) = -11 4x - 15 = -11Solve for x. Add 15 to both sides of the equation to isolate x: 4x = -11 + 15 4x = 4 Divide both sides by 4 to find the value of x: x = 4 / 4 x = 1

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x-5 y & =-11 \\ 2 x+15 y & =47 \end{aligned}$

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Find the solution of the system of equations.\newline4x−5yamp;=−112x+15yamp;=47 \begin{aligned} 4 x-5 y &amp; =-11 \\ 2 x+15 y &amp; =47 \end{aligned} 4x−5y2x+15y​amp;=−11amp;=47​

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x-5 y & =-11 \\ 2 x+15 y & =47 \end{aligned}$