SOLUTION: x^2+y^2=1 x+y=-1 can you give me the steps to solve this problem using simple words because i do not understand the steps they show me in my book

Question 217702: x^2+y^2=1
x+y=-1
can you give me the steps to solve this problem using simple words because i do not understand the steps they show me in my book
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
This is an equation of a circle centered at point (0,0) with radius 1.

This is an equation of a line with slope m=-1 and y-intercept at b=-1 or at point (0,-1).

Step 1. Let's solve for x in

Subtract -y to both sides of the equation

}

Step 2. Substitute into

but and

Step 3. Subtract 1 to both sides of the equation

Then and

Step 4. Find x-coordinates when and

At , then . One intersection point is (-1,0).

At then . One intersection point is (0,-1).

Step 5. Then intersection points are (-1,0) and (0,-1)

Here are the graphs of the circle and line and note they have two common points.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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