Step 1

we have to write the solution set for the system of

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)

\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)

By drawing the graph. We will first draw the graph and then through the graphical analysis we will draw the conclusion for the solution set.

Step 2

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)

\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)

the solution are \(\displaystyle{S}={\left\lbrace{\left({0},\ {5}\right)},\ {\left({0},\ −{5}\right)}\right\rbrace}\)

we have to write the solution set for the system of

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)

\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)

By drawing the graph. We will first draw the graph and then through the graphical analysis we will draw the conclusion for the solution set.

Step 2

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)

\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)

the solution are \(\displaystyle{S}={\left\lbrace{\left({0},\ {5}\right)},\ {\left({0},\ −{5}\right)}\right\rbrace}\)