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Solve the system by substitution. {:[x-7y=36],[y=-5x]:} (◻,◻)

Solve the system by substitution.\newlinex−7yamp;=36yamp;=−5x \begin{aligned} x-7 y & =36 \\ y & =-5 x \end{aligned} \newline(□,□) (\square, \square)

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Q. Solve the system by substitution.\newlinex−7y=36y=−5x \begin{aligned} x-7 y & =36 \\ y & =-5 x \end{aligned} \newline(□,□) (\square, \square)
  1. Substitute y=−5xy = -5x: Substitute y=−5xy = -5x into the equation x−7y=36x - 7y = 36.
    x−7(−5x)=36x - 7(-5x) = 36
    x+35x=36x + 35x = 36
    36x=3636x = 36
  2. Solve for x: Solve for x.\newlineDivide both sides of the equation by 3636.\newline36x36=3636\frac{36x}{36} = \frac{36}{36}\newlinex=1x = 1
  3. Substitute x=1x = 1: Substitute x=1x = 1 into y=−5xy = -5x to find yy.\newliney=−5(1)y = -5(1)\newliney=−5y = -5
  4. Write the solution: Write the solution as an ordered pair x,yx, y. The solution is 1,−51, -5.

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