Find the solution set for the system x^{2}+y^{2}=25 25x^{2}+y^{2}=25 by graphing both

tbbfiladelfia6l 2021-11-22 Answered
Find the solution set for the system
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)
\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)
by graphing both of the system’s equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations.

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Expert Answer

Theirl1972
Answered 2021-11-23 Author has 9087 answers
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
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={25}\)
\(\displaystyle{25}{x}^{{{2}}}+{y}^{{{2}}}={25}\)
image
the solution are \(\displaystyle{S}={\left\lbrace{\left({0},\ {5}\right)},\ {\left({0},\ −{5}\right)}\right\rbrace}\)
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