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Find the solution of the system of equations. {:[-10 x+9y=-4],[3x-9y=-24]:} (_________,________)

Find the solution of the system of equations.\newline−10x+9yamp;=−43x−9yamp;=−24 \begin{aligned} -10 x+9 y & =-4 \\ 3 x-9 y & =-24 \end{aligned} \newline(_________,________)

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Full solution

Q. Find the solution of the system of equations.\newline−10x+9y=−43x−9y=−24 \begin{aligned} -10 x+9 y & =-4 \\ 3 x-9 y & =-24 \end{aligned} \newline(_________,________)
  1. Combine equations: Add the two equations together to eliminate yy.(−10x+9y)+(3x−9y)=−4+(−24)(-10x + 9y) + (3x - 9y) = -4 + (-24)−10x+3x=−28-10x + 3x = -28−7x=−28-7x = -28
  2. Solve for x: Divide both sides by −7-7 to solve for x.\newlinex=−28−7x = \frac{-28}{-7}\newlinex=4x = 4
  3. Substitute xx into first equation: Substitute x=4x = 4 into the first equation to solve for yy.\newline−10(4)+9y=−4-10(4) + 9y = -4\newline−40+9y=−4-40 + 9y = -4
  4. Isolate 9y9y: Add 4040 to both sides to isolate 9y9y.\newline9y=−4+409y = -4 + 40\newline9y=369y = 36
  5. Solve for y: Divide both sides by 99 to solve for y.\newliney = 369\frac{36}{9}\newliney = 44

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