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{:[(23 y)/(23)=-(69)/(23)],[5x-4y=2],[5x-4(-3)=2],[5x+12=2],[(5x)/(5)=(-10)/(5)=>x=-2quad(-2","-3)],[5x-4y=2longrightarrow5(-2)-4(-3)=2longrightarrow-10+12=2],[x+7y=-15 longrightarrow-3(-2)+7(-3)=-15 longrightarrow6-21=-15]:}

23y23=−69235x−4y=25x−4(−3)=25x+12=25x5=−105⇒x=−2(−2,−3)5x−4y=2⟶5(−2)−4(−3)=2⟶−10+12=2x+7y=−15⟶−3(−2)+7(−3)=−15⟶6−21=−15 \begin{array}{l}\frac{23 y}{23}=-\frac{69}{23} \\ 5 x-4 y=2 \\ 5 x-4(-3)=2 \\ 5 x+12=2 \\ \frac{5 x}{5}=\frac{-10}{5} \Rightarrow x=-2 \quad(-2,-3) \\ 5 \mathrm{x}-4 \mathrm{y}=2 \longrightarrow 5(-2)-4(-3)=2 \longrightarrow-10+12=2 \\ \mathrm{x}+7 \mathrm{y}=-15 \longrightarrow-3(-2)+7(-3)=-15 \longrightarrow 6-21=-15 \\\end{array}

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Q. 23y23=−69235x−4y=25x−4(−3)=25x+12=25x5=−105⇒x=−2(−2,−3)5x−4y=2⟶5(−2)−4(−3)=2⟶−10+12=2x+7y=−15⟶−3(−2)+7(−3)=−15⟶6−21=−15 \begin{array}{l}\frac{23 y}{23}=-\frac{69}{23} \\ 5 x-4 y=2 \\ 5 x-4(-3)=2 \\ 5 x+12=2 \\ \frac{5 x}{5}=\frac{-10}{5} \Rightarrow x=-2 \quad(-2,-3) \\ 5 \mathrm{x}-4 \mathrm{y}=2 \longrightarrow 5(-2)-4(-3)=2 \longrightarrow-10+12=2 \\ \mathrm{x}+7 \mathrm{y}=-15 \longrightarrow-3(-2)+7(-3)=-15 \longrightarrow 6-21=-15 \\\end{array}
  1. Simplify Equation 11: Simplify the first equation: (23y23=−6923)\left(\frac{23y}{23} = -\frac{69}{23}\right).\newlineCalculation: y=−3y = -3.
  2. Substitute yy into Equation 22: Substitute y=−3y = -3 into the second equation: [5x−4y=2][5x - 4y = 2].\newlineCalculation: 5x−4(−3)=2⇒5x+12=25x - 4(-3) = 2 \Rightarrow 5x + 12 = 2.
  3. Solve for x: Solve for x: [5x+12=2][5x + 12 = 2].\newlineCalculation: 5x=2−12⇒5x=−10⇒x=−25x = 2 - 12 \Rightarrow 5x = -10 \Rightarrow x = -2.
  4. Check Solution in Equation 22: Check the solution in the second equation: [5x−4y=2][5x - 4y = 2].\newlineCalculation: 5(−2)−4(−3)=−10+12=25(-2) - 4(-3) = -10 + 12 = 2.
  5. Substitute xx and yy into Equation 33: Substitute x=−2x = -2 and y=−3y = -3 into the third equation: [x+7y=−15][x + 7y = -15].\newlineCalculation: −2+7(−3)=−2−21=−23-2 + 7(-3) = -2 - 21 = -23.

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