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Solve the system by substitution. {:[y=2x],[7x-2y=12]:} (◻,◻)

Solve the system by substitution.\newliney=2x7x−2y=12 \begin{aligned} y & =2 x \\ 7 x-2 y & =12 \end{aligned} \newline(□,□) (\square, \square)

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Q. Solve the system by substitution.\newliney=2x7x−2y=12 \begin{aligned} y & =2 x \\ 7 x-2 y & =12 \end{aligned} \newline(□,□) (\square, \square)
  1. Substitute y=2xy = 2x: Substitute y=2xy = 2x into the second equation 7x−2y=127x - 2y = 12. Substitute 2x2x for yy in 7x−2(2x)=127x - 2(2x) = 12. 7x−4x=127x - 4x = 12 3x=123x = 12
  2. Solve for x: Solve for x.\newlineDivide both sides of the equation by 33.\newline3x3=123\frac{3x}{3} = \frac{12}{3}\newlinex=4x = 4
  3. Substitute x=4x = 4: Substitute x=4x = 4 into y=2xy = 2x to find yy.\newlineSubstitute 44 for xx in y=2xy = 2x.\newliney=2(4)y = 2(4)\newliney=8y = 8
  4. Write the solution: Write the solution as an ordered pair (x,y)(x, y). The solution is (4,8)(4, 8).

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