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BeccaB003
 one year ago
Solve the following system of equations.
x^2 + y^2 = 9
x^2  3y = 9
BeccaB003
 one year ago
Solve the following system of equations. x^2 + y^2 = 9 x^2  3y = 9

This Question is Closed

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0These are the options: (3, 0), (3, 0),(3, 9),(3, 9) (3, 9),(3, 0) (3, 0), (0, 3), (3, 0) (3, 9) I am very confused on how to do this problem because there is a 3y and y^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well since they both = 9 its safe to say they equal each other right @BeccaB003

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well since they both = 9 its safe to say they equal each other right @BeccaB003

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0I am here. Yes, I suppose they would equal each other.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2x^2 + y^2 = x^2  3y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so x^2 + y^2 = x^2  3y now solve do x^2 to get y^2+3y

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2subtract x^2 from both sides y^2 =  3y

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0@welshfella @DaBest21 But how do you solve with that problem if there is y and y^2?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2can you solve that?

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0I thought you used substitution or elimination for problems like this.

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0I don't understand how you would solve for y^2=3y they are two different types of variables. you can't combine them or anything.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2well i have used elimination  i eliminated x^2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2y^2 + 3y = 0 y(y + 3) = 0 y = ?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2you factor them as above

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0y(y+3)=0 < is factored

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0I don't know how to simplify that more.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2when 2 functions are multiplied together and the result is 0 then either one or the other is zero. I other words there are 2 solutions y(y + 3) = 0 y = 0 or y + 3 = 0 y = 0 y= 3 0 and 3 are the 2 solutions

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0So then you plug them both into the original equation to find x?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yes plug them into x^2  3y = 9

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2so when y = 3 x^2 3(3) = 9 x^2 + 9 = 9 x^2 = 99 = 0 x = 0 so one solution is (0,3)

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Okay so, x^2 3(0) = 9 equals: x^2 = 9 = x = 3

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0So another solution is (3,0)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2not quite sqrt x^2 is also 3

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2right (3,0) is one solution and a third one is (3,0)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2* square root of 9 is also 3

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0How can the square root of 9 be 3?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2so the 3rd option is the correct one.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.23 * 3 = 9 also 3 * 3 = 9

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Okay, Thank you so much for your help! :)
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