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Find the solution of the system of equations. {:[3x+9y=27],[-3x-5y=-23]:} (_________,________)

Find the solution of the system of equations.\newline3x+9yamp;=27−3x−5yamp;=−23 \begin{aligned} 3 x+9 y & =27 \\ -3 x-5 y & =-23 \end{aligned} \newline(_________,________)

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Full solution

Q. Find the solution of the system of equations.\newline3x+9y=27−3x−5y=−23 \begin{aligned} 3 x+9 y & =27 \\ -3 x-5 y & =-23 \end{aligned} \newline(_________,________)
  1. Add Equations Together: Add the two equations together to eliminate xx.$3x+9y\$3x + 9y + (−3-3x - 55y) = 2727 - 2323\)
  2. Combine Like Terms: Combine like terms.\newline3x−3x+9y−5y=43x - 3x + 9y - 5y = 4
  3. Simplify Equation: Simplify the equation. 0x+4y=40x + 4y = 4
  4. Divide to Solve for yy: Divide both sides by 44 to solve for yy.y=44y = \frac{4}{4}
  5. Calculate y Value: Calculate the value of y.\newliney = 11
  6. Substitute to Solve for xx: Substitute y=1y = 1 into one of the original equations to solve for xx.3x+9(1)=273x + 9(1) = 27
  7. Simplify Equation: Simplify the equation. 3x+9=273x + 9 = 27
  8. Subtract to Solve for xx: Subtract 99 from both sides.\newline3x=27−93x = 27 - 9
  9. Calculate 3x3x Value: Calculate the value of 3x3x.3x=183x = 18
  10. Divide to Solve for xx: Divide both sides by 33 to solve for xx.x=183x = \frac{18}{3}
  11. Calculate x Value: Calculate the value of x.\newlinex=6x = 6

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