Solve the given systems of equations by graphical method: $$x^2+y^2=5$$ and $$y=2x$$
My Attempt
Let's have a look at the second equation ; $$y=2x$$ This is a linear equation in two variables and while solving it Graphically we have;
When $y=2, x=1$ When $y=4, x=2$ When $y=6, x=3$ Plotting these Co ordinates in the graph gives a straight line.
But I don't have any idea regarding the first equation $x^2+y^2=5$. I have never solved any equation like this.
Can anyone help me with this?
$x^2+y^2=5$ is a circle.
$(x – h)^2 + (y – k)^2 = r^2$ is the general formula for a circle, with the center at the point $(h, k)$ and the radius $r$.
So in your case, $(h, k)=(0,0)$, the circle is centered at the origin with a raidus of $\sqrt5$.
The graph looks like this: