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Solve using substitution. 5x−2y=−7 5x - 2y = -7 x=−5 x = -5 (_,_)

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Full solution

Q. Solve using substitution. 5x−2y=−7 5x - 2y = -7 x=−5 x = -5 (_,_)
  1. Substitute x=−5x = -5: Substitute x=−5x = -5 into the first equation 5x−2y=−75x - 2y = -7.\newlineCalculation: 5(−5)−2y=−75(-5) - 2y = -7 which simplifies to −25−2y=−7-25 - 2y = -7.
  2. Isolate y by adding: Isolate y by adding 2525 to both sides of the equation −25−2y=−7-25 - 2y = -7.\newlineCalculation: −25−2y+25=−7+25-25 - 2y + 25 = -7 + 25 which simplifies to −2y=18-2y = 18.
  3. Divide both sides: Divide both sides of the equation −2y=18-2y = 18 by −2-2 to solve for yy. Calculation: y=18−2y = \frac{18}{-2} which simplifies to y=−9y = -9.
  4. Write the solution: We have found the values of xx and yy. The solution is x=−5x = -5 and y=−9y = -9. Write the solution as a coordinate point. The coordinate point is (−5,−9)(-5, -9).

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