SOLUTION: Hi! Use the substitution method to find all solutions of the system of equations. (Round each answer to two decimal places.) {x^2+y^2=25 y =2x thanks for the homewo

Question 200159: Hi!
Use the substitution method to find all solutions of the system of equations. (Round each answer to two decimal places.)
{x^2+y^2=25
y =2x
thanks for the homework help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Plug in

Square 2x to get

Combine like terms.

Divide both sides by 5.

Reduce

or Take the square root of both sides (don't forget the "plus/minus"

The solutions above approximate to: or

which rounded to the nearest hundredth are: or

Now simply plug these values into to find the corresponding y values to the given x values. I'll let you take over from here.
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