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Solve.\newlinex=5x = 5\newline5x+5y=155x + 5y = 15\newline(_____, _____)

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Q. Solve.\newlinex=5x = 5\newline5x+5y=155x + 5y = 15\newline(_____, _____)
  1. Substitute xx in second equation: Given the equation x=5x = 5, we will substitute this value into the second equation 5x+5y=155x + 5y = 15.\newlineSubstitute 55 for xx in 5x+5y=155x + 5y = 15.\newline5(5)+5y=155(5) + 5y = 15
  2. Simplify the equation: Simplify the equation by performing the multiplication. 25+5y=1525 + 5y = 15
  3. Isolate variable term: Isolate the variable term 5y5y by subtracting 2525 from both sides of the equation.\newline25+5y−25=15−2525 + 5y - 25 = 15 - 25\newline5y=−105y = -10
  4. Solve for y: Solve for y by dividing both sides of the equation by 55.\newline5y5=−105\frac{5y}{5} = \frac{-10}{5}\newliney=−2y = -2
  5. Write the solution: We found:\newlinex=5x = 5\newliney=−2y = -2\newlineNow we can write the solution as an ordered pair.\newlineThe solution is (5,−2)(5, -2).

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