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Solve.\newline10x−7y=1210x - 7y = 12\newlinex=−3x = -3\newline(_____, _____)

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Q. Solve.\newline10x−7y=1210x - 7y = 12\newlinex=−3x = -3\newline(_____, _____)
  1. Substitute x=−3x = -3: Substitute x=−3x = -3 into the first equation.\newlineWe have the equation 10x−7y=1210x - 7y = 12 and we know that x=−3x = -3. Let's substitute −3-3 for xx in the equation.\newline10(−3)−7y=1210(-3) - 7y = 12
  2. Simplify the equation: Simplify the equation.\newlineNow we simplify the left side of the equation.\newline−30−7y=12-30 - 7y = 12
  3. Isolate the variable yy: Isolate the variable yy. To find the value of yy, we need to isolate yy on one side of the equation. –7y=12+30–7y = 12 + 30 –7y=42–7y = 42
  4. Solve for y: Solve for y.\newlineNow we divide both sides by –7–7 to solve for yy.\newliney=42(–7)y = \frac{42}{(–7)}\newliney=–6y = –6
  5. Write the solution: Write the solution as an ordered pair.\newlineWe have found that x=−3x = -3 and y=−6y = -6. The solution in the form of an ordered pair is (−3,−6)(-3, -6).

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