Can you simplify the following answer?
Answer provided by our tutors
One way of getting a less complicated answer is by replacing 'x^2' with 's', and 'y^2' with 't', that is:
s = x^2
t = y^2
And then solving the following system:
So, now you have the solutions for 's' and 't':
s = 4
t = 4
Now, we need to go back to 'x' and 'y':
x^2 = 4
y^2 = 4
We have the following solutions for 'x':
x1 = 2
x2 = -2
And the following solutions for y"
y1 = 2
y2 = -2
So, there are 4 solutions: (2, 2), (-2, 2), (-2, 2) and (-2, -2).
You can also see the solutions if you graph the equations - there are 4 interceptions, thus 4 solutions: