Find the solution of the system of equations. {:[10 x-5y=-15],[5x-9y=12]:}

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Find the solution of the system of equations.  {:[10 x-5y=-15],[5x-9y=12]:}

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Write Equations: Write down the system of equations. We have the following system of equations: 10x - 5y = -15 5x - 9y = 12 We need 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 coefficients of x the same in both equations. Multiplying the second equation by 2 gives us: 2 * (5x - 9y) = 2 * 12 10x - 18y = 24 Now we have the new system of equations: 10x - 5y = -15 10x - 18y = 24Eliminate x: Subtract the first equation from the second equation to eliminate x. (10x - 18y) - (10x - 5y) = 24 - (-15) 10x - 18y - 10x + 5y = 24 + 15 -13y = 39Solve for y: Solve for y. Divide both sides of the equation by -13 to find y: y = 39 / -13 y = -3Substitute and Solve for x: Substitute y = -3 into one of the original equations to solve for x. Let's use the first equation: 10x - 5y = -15 10x - 5(-3) = -15 10x + 15 = -15Solve for x. Subtract 15 from both sides of the equation: 10x = -15 - 15 10x = -30 Divide both sides by 10: x = -30 / 10 x = -3

Find the solution of the system of equations. $\newline$ $\begin{aligned} 10 x-5 y & =-15 \\ 5 x-9 y & =12 \end{aligned}$

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Find the solution of the system of equations.\newline10x−5yamp;=−155x−9yamp;=12 \begin{aligned} 10 x-5 y &amp; =-15 \\ 5 x-9 y &amp; =12 \end{aligned} 10x−5y5x−9y​amp;=−15amp;=12​

Find the solution of the system of equations. $\newline$ $\begin{aligned} 10 x-5 y & =-15 \\ 5 x-9 y & =12 \end{aligned}$