SOLUTION: How do I solve the following system of equations? {{{ x^2 + y^2 = 169}}} {{{ x^2 - 8y = 104}}} Can you provide a detailed answer, including all of the steps used to so

Question 188802: How do I solve the following system of equations?

Can you provide a detailed answer, including all of the steps used to solve the system of equation?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation.

Add 8y to both sides.

----------

Move onto the second equation

Plug in

Subtract 169 from both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for y

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers for "y" are or

Now simply plug these solutions into to find the solutions for "x". I'll let you do this.

Note: you should find that there are 3 ordered pair solutions.
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