SOLUTION: Find the solution set for the system by graphing both of the systems equations in the same rectangular coordinate system and finding the points intersection. CHeck solutions in bot

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Question 770834: Find the solution set for the system by graphing both of the systems equations in the same rectangular coordinate system and finding the points intersection. CHeck solutions in both equations.
x^2+y^2=1
x^2+49y^2=49
is this where u use addition or substiution method?
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
You have a circle and an ellipse. Finding a solution by graphing is not any addition nor substitution method. Graphing is put the graph onto a coordinate system. Know how the equations work.

Your circle is simply a unit circle at the origin. The other equation is an ellipse. Divide by sides by 49 so the standard form is more readable.
%28x%5E2%29%2F7%5E2%2By%5E2=1 which is also centered at the origin. The intercepts on the y-axis are at plus and minus 1; the intercepts on the x-axis are at plus and minus 7. Note that standard form centered at origin for an ellipse is like,
x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 for when a>b, and the x intercepts are plus and minus a, and y-intercepts are at plus and minus b.

Showing just the lower half of each graphed figure:


Showing just the upper half of each graphed figure:
graph%28350%2C350%2C-10%2C10%2C-5%2C5%2Csqrt%281-%28x%5E2%29%2F49%29%2Csqrt%281-x%5E2%29%29
They are displaying a bit imperfectly.