SOLUTION: The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12. A) Write a system o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12. A) Write a system o      Log On


   

Question 754486: The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12.
A) Write a system of equations to represent this situation
B)Solve the system to determine the numbers
Answer by lwsshak3(11628) About Me  (Show Source):
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The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12.
A) Write a system of equations to represent this situation
B)Solve the system to determine the numbers
***
let x=1st number
let y=2nd number
..
x+y^2=18
y^2-2x=12
..
y^2=18-x
18-x-2x=12
-3x=-6
x=2
..
y^2=12+2x=12+4=16
y=±√16=±4