# How do you solve #(x-3)^2+(y-5)^2=25# and #x^2+(y-1)^2=100#?

##### 1 Answer

#### Answer:

Expand the squares for the 2 equations for circles, subtract to get a linear equation, substitute back into one of the circle equations:

#### Explanation:

[1]

[2]

Expanding the square for [1]

[3]

Simplifying

[4]

Expanding the square for [2]

[5]

Simplifying

[6]

Subtract [4] from [6]

[7]

Simplify

[8]

Substituting

[9]

or

[10]

Expanding the square

[11]

Multiply by 16

[12]

Simplifying into standard quadratic form

[13]

Dividing by

[14]

Factoring

[15]

When

[16]