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Solve.\newlinex=7x = 7\newline6x+3y=126x + 3y = 12\newline(_____, _____)

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Q. Solve.\newlinex=7x = 7\newline6x+3y=126x + 3y = 12\newline(_____, _____)
  1. Substitute xx in second equation: Given the equation x=7x = 7, we will substitute this value into the second equation 6x+3y=126x + 3y = 12. Substitute 77 for xx in 6x+3y=126x + 3y = 12. 6(7)+3y=126(7) + 3y = 12
  2. Simplify the equation: Simplify the equation by multiplying 66 by 77. \newline42+3y=1242 + 3y = 12
  3. Isolate the variable term: Isolate the variable term 3y3y by subtracting 4242 from both sides of the equation.\newline42+3y−42=12−4242 + 3y - 42 = 12 - 42\newline3y=−303y = -30
  4. Solve for y: Solve for y by dividing both sides of the equation by 33.\newline3y3=−303\frac{3y}{3} = \frac{-30}{3}\newliney=−10y = -10
  5. Write the solution as ordered pair: We found:\newlinex=7x = 7\newliney=−10y = -10\newlineNow we can write the solution as an ordered pair.\newlineThe solution is (7,−10)(7, -10).

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