91影视

The ordered pair (2,-1) is given

We have to check this (2,-1) is the solution of the given system.

To check first we have to substitute x=2 and y=-1 in the given system $$\begin{gathered} 4x+y鈮�6 \\ 3x-y鈮�12 \end{gathered}$$ then we get,

localid="1649314481048" $$\begin{gathered} 4\mathrm{x}+\mathrm{y}鈮�6\mathrm{put}\mathrm{x}=2,\mathrm{y}=-1 \\ 4脳2-1鈮�6 \\ 8-1鈮�6 \\ 7鈮�6,\mathrm{true},\mathrm{it}\mathrm{satisfying}\mathrm{the}\mathrm{this}\mathrm{inquality} \\ 3\mathrm{x}-\mathrm{y}鈮�12\mathrm{putx}=2,\mathrm{y}=-1 \\ 3脳2-1鈮�12 \\ 6-1鈮�12 \\ 5鈮�12,\mathrm{true} \\ \mathrm{So}\mathrm{ordered}\mathrm{pair}(2,-1)\mathrm{is}\mathrm{satsfying}\mathrm{both}\mathrm{inequalities}\mathrm{true}.\mathrm{Therefore}(2,-1)\mathrm{is}\mathrm{a}\mathrm{solution}\mathrm{to}\mathrm{this}\mathrm{system} \end{gathered}$$

Given ordered pair is (3,-2)

We have to prove (3,-2) is the solution of the given system.

Substitute x=3 and y=-2 in the given system , then we get

$$\begin{gathered} 4\mathrm{x}+\mathrm{y}鈮�6,\mathrm{put}\mathrm{x}=3\mathrm{and}\mathrm{y}=-2\mathrm{then} \\ \mathrm{4脳3-2鈮�6} \\ \mathrm{12-2鈮�6} \\ 10鈮�6\mathrm{condition}\mathrm{is}\mathrm{true} \\ \mathrm{In}3\mathrm{x}-\mathrm{y}鈮�12\mathrm{put}\mathrm{x}=3\mathrm{and}\mathrm{y}=-2 \\ \mathrm{3脳3-2鈮�12} \\ 7鈮�12\mathrm{here}\mathrm{also}\mathrm{condition}\mathrm{is}\mathrm{true} \\ \mathrm{Thus}(3,-2)\mathrm{made}\mathrm{both}\mathrm{inequalities}\mathrm{true}.\mathrm{So}(3,-2)\mathrm{is}\mathrm{a}\mathrm{solution} \end{gathered}$$