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Solve using elimination.\newline5x+8y=145x + 8y = 14\newline–5x−4y=18–5x − 4y = 18\newline(_____, _____)

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Q. Solve using elimination.\newline5x+8y=145x + 8y = 14\newline–5x−4y=18–5x − 4y = 18\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline5x+8y=145x + 8y = 14\newline–5x−4y=18–5x − 4y = 18
  2. Add Equations: Add the two equations together to eliminate the xx variable.\newline(5x+8y)+(–5x−4y)=14+18(5x + 8y) + (–5x − 4y) = 14 + 18
  3. Perform Addition: Perform the addition.\newline5x−5x+8y−4y=14+185x - 5x + 8y - 4y = 14 + 18\newline0x+4y=320x + 4y = 32
  4. Simplify Equation: Simplify the equation. 4y=324y = 32
  5. Divide for yy: Divide both sides by 44 to solve for yy.y=324y = \frac{32}{4}y=8y = 8
  6. Substitute for x: Substitute y=8y = 8 into one of the original equations to solve for xx. Let's use the first equation: 5x+8y=145x + 8y = 14 5x+8(8)=145x + 8(8) = 14
  7. Perform Multiplication: Perform the multiplication. 5x+64=145x + 64 = 14
  8. Subtract for xx: Subtract 6464 from both sides to solve for xx.
    5x=14−645x = 14 - 64
    5x=−505x = -50
  9. Divide for xx: Divide both sides by 55 to find the value of xx.
    x=−505x = -\frac{50}{5}
    x=−10x = -10

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