Solve by elimination: |
\[3x=y+5\] |
\[5x-y=11\] |
Answer:
Given equations are, \[3x=y+5\] ...(i) \[5x-y=11\] ...(ii) On subtracting eq. (i) and (ii), we get \[_{\begin{smallmatrix} 5x\,\,-\,\,y\,\,=\,\,11 \\ -\,\,\,\,\,\,+\,\,\,\,\,\,\,- \\ \overline{-2x\,\,\,\,\,\,\,\,=\,\,-6} \end{smallmatrix}}^{3x\,\,-\,\,y\,\,=\,\,5}\] \[x=3\] Putting the value of x in eq. (i) \[3(3)-y=5\] \[9-5=y\] \[\Rightarrow y=4\] \[\therefore x=3,y=4\]
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