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Solve the system by substitution. {:[y=5x],[8x-3y=35]:} (◻,◻)

Solve the system by substitution.\newlineyamp;=5x8x−3yamp;=35 \begin{aligned} y & =5 x \\ 8 x-3 y & =35 \end{aligned} \newline(□,□) (\square, \square)

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Q. Solve the system by substitution.\newliney=5x8x−3y=35 \begin{aligned} y & =5 x \\ 8 x-3 y & =35 \end{aligned} \newline(□,□) (\square, \square)
  1. Substitute y=5xy=5x: Substitute y=5xy=5x into the second equation 8x−3y=358x-3y=35.\newlineCalculation: 8x−3(5x)=358x - 3(5x) = 35\newline8x−15x=358x - 15x = 35\newline−7x=35-7x = 35
  2. Solve for x: Solve for x by dividing both sides of the equation by −7-7.\newlineCalculation: −7x−7=35−7\frac{-7x}{-7} = \frac{35}{-7}\newlinex = −5-5
  3. Substitute x=−5x=-5: Substitute x=−5x=-5 into the first equation y=5xy=5x to find yy.\newlineCalculation: y=5(−5)y = 5(-5)\newliney=−25y = -25

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