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Solve using elimination.\newline−4x−4y=−4-4x - 4y = -4\newline4x+3y=−54x + 3y = -5\newline(_____, _____)

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Q. Solve using elimination.\newline−4x−4y=−4-4x - 4y = -4\newline4x+3y=−54x + 3y = -5\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline−4x−4y=−4-4x - 4y = -4\newline4x+3y=−54x + 3y = -5
  2. Add Equations: Add the two equations together to eliminate the xx variable.\newline(−4x−4y)+(4x+3y)=−4+(−5)(-4x - 4y) + (4x + 3y) = -4 + (-5)\newlineThe xx terms cancel each other out, and we are left with:\newline−4y+3y=−9-4y + 3y = -9
  3. Combine Terms: Combine like terms to solve for yy. −4y+3y=−9\,-4y + 3y = -9 −y=−9\,-y = -9
  4. Divide for y: Divide both sides by −1-1 to solve for y.\newline−y/−1=−9/−1-y / -1 = -9 / -1\newliney=9y = 9
  5. Substitute for xx: Substitute y=9y = 9 into one of the original equations to solve for xx. We'll use the second equation.\newline4x+3(9)=−54x + 3(9) = -5\newline4x+27=−54x + 27 = -5
  6. Subtract 2727: Subtract 2727 from both sides to solve for xx.\newline4x+27−27=−5−274x + 27 - 27 = -5 - 27\newline4x=−324x = -32
  7. Divide by 44: Divide both sides by 44 to solve for xx.4x4=−324\frac{4x}{4} = \frac{-32}{4}x=−8x = -8
  8. Write Solution: Write down the solution to the system of equations.\newlineThe solution is (x,y)=(–8,9)(x, y) = (\text{–}8, 9).

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