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Solve using elimination.\newline−x−4y=−6-x - 4y = -6\newlinex−4y=14x - 4y = 14\newline(_____, _____)

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Q. Solve using elimination.\newline−x−4y=−6-x - 4y = -6\newlinex−4y=14x - 4y = 14\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline−x−4y=−6-x - 4y = -6\newlinex−4y=14x - 4y = 14
  2. Add Equations: Add the two equations together to eliminate the variable xx.(−x−4y-x - 4y + x−4yx - 4y = −6-6 + 1414\)The xx terms cancel each other out, and we are left with:−4-4y - 44y = 88\)
  3. Combine Terms: Combine like terms.\newline−8y=8-8y = 8
  4. Solve for y: Solve for y by dividing both sides by –8–8.y=8(–8)y = \frac{8}{(–8)}y=–1y = –1
  5. Substitute and Solve: Substitute y=−1y = -1 into one of the original equations to solve for xx. We can use the second equation.\newlinex−4(−1)=14x - 4(-1) = 14\newlinex+4=14x + 4 = 14
  6. Solve for x: Solve for x by subtracting 44 from both sides.\newlinex=14−4x = 14 - 4\newlinex=10x = 10
  7. Write Ordered Pair: Write the solution as an ordered pair.\newlineThe solution to the system of equations is (10,−1)(10, -1).

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