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{:[x+y=5],[x-y=6],[:.(x+y)+(x-y)=5+6],[:.x+y+x-y=11],[:.x=11],[:.x=5.5],[:.5*5+y=5],[y=0.5]:}

amp;x+y=5amp;x−y=6∴amp;(x+y)+(x−y)=5+6∴amp;x+y+x−y=11∴amp;x=11∴amp;x=5.5∴amp;5⋅5+y=5y=amp;0.5 \begin{aligned} & x+y=5 \\ & x-y=6 \\ \therefore & (x+y)+(x-y)=5+6 \\ \therefore & x+y+x-y=11 \\ \therefore & x=11 \\ \therefore & x=5.5 \\ \therefore & 5 \cdot 5+y=5 \\ y= & 0.5\end{aligned}

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Q. x+y=5x−y=6∴(x+y)+(x−y)=5+6∴x+y+x−y=11∴x=11∴x=5.5∴5⋅5+y=5y=0.5 \begin{aligned} & x+y=5 \\ & x-y=6 \\ \therefore & (x+y)+(x-y)=5+6 \\ \therefore & x+y+x-y=11 \\ \therefore & x=11 \\ \therefore & x=5.5 \\ \therefore & 5 \cdot 5+y=5 \\ y= & 0.5\end{aligned}
  1. Equations Given: We have the system of equations:\newlinex+y=5x + y = 5\newlinex−y=6x - y = 6
  2. Addition of Equations: Add the two equations together: x + y) + (x - y) = \(5 + 66\
  3. Simplify Left Side: Simplify the left side: x+y+x−y=11x + y + x - y = 11
  4. Combine Like Terms: Combine like terms: 2x=112x = 11
  5. Solve for x: Divide both sides by 22 to solve for x:\newlinex=112x = \frac{11}{2}\newlinex=5.5x = 5.5
  6. Substitute xx into First Equation: Now substitute x=5.5x = 5.5 into the first equation to find yy:5.5+y=55.5 + y = 5
  7. Find yy: Subtract 5.55.5 from both sides:\newliney=5−5.5y = 5 - 5.5\newliney=−0.5y = -0.5

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