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Solve using elimination.\newline4x−5y=−144x - 5y = -14\newline6x−5y=46x - 5y = 4\newline(_____, _____)

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Q. Solve using elimination.\newline4x−5y=−144x - 5y = -14\newline6x−5y=46x - 5y = 4\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline4x−5y=−144x − 5y = −14\newline6x−5y=46x − 5y = 4
  2. Eliminate y: Since the coefficients of y are the same in both equations, we can eliminate y by subtracting the first equation from the second.\newline(6x−5y)−(4x−5y)=4−(−14)(6x - 5y) - (4x - 5y) = 4 - (-14)
  3. Subtract Equations: Perform the subtraction to eliminate yy.6x−5y−4x+5y=4+146x - 5y - 4x + 5y = 4 + 14
  4. Simplify Equation: Simplify the equation. 2x=182x = 18
  5. Solve for x: Solve for x by dividing both sides by 22.x=182x = \frac{18}{2}x=9x = 9
  6. Substitute xx: Substitute x=9x = 9 into one of the original equations to solve for yy. We'll use the first equation.4(9)−5y=–144(9) − 5y = –14
  7. Perform Multiplication: Perform the multiplication. 36−5y=−1436 - 5y = -14
  8. Isolate y Term: Subtract 3636 from both sides to isolate the term with yy. \newline−5y=−14−36-5y = -14 - 36
  9. Simplify Right Side: Simplify the right side of the equation. −5y=−50-5y = -50
  10. Solve for y: Solve for y by dividing both sides by -5＂).\(\newline\$y = \frac{-50}{-5}\)\(\newline\)\(y = 10\)

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