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Solve the system by substitution. {:[y=5x+7],[y=6x]:} (◻,◻)

Solve the system by substitution.\newliney=5x+7y=6x \begin{array}{l} y=5 x+7 \\ y=6 x \end{array} \newline(□,□) (\square, \square)

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Q. Solve the system by substitution.\newliney=5x+7y=6x \begin{array}{l} y=5 x+7 \\ y=6 x \end{array} \newline(□,□) (\square, \square)
  1. Set Equations Equal: Since both equations are already solved for yy, we can set them equal to each other to find xx.y=5x+7y = 5x + 7y=6xy = 6xSet 5x+75x + 7 equal to 6x6x.5x+7=6x5x + 7 = 6x
  2. Solve for x: Solve for x by subtracting 5x5x from both sides of the equation.\newline5x+7−5x=6x−5x5x + 7 - 5x = 6x - 5x\newline7=x7 = x
  3. Substitute and Find yy: Substitute the value of xx back into one of the original equations to find yy. We can use y=5x+7y = 5x + 7.\newliney=5(7)+7y = 5(7) + 7\newliney=35+7y = 35 + 7\newliney=42y = 42
  4. Write Ordered Pair: Write the solution as an ordered pair (x,y)(x, y). The solution is (7,42)(7, 42).

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