SOLUTION: How to solve for x and y? X+Y=30 and X*Y=209

Question 392860: How to solve for x and y?
X+Y=30 and X*Y=209
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
X+Y=30
X=30-Y
X*Y=209
REPLACE X WITH 30-Y IN THE SECOND EQUATION & SOLVE FOR Y.
(30-Y)Y=209
30Y-Y^2=209
Y^2-30Y+209=0
(Y-19)(Y-11)=0
Y-19=0
Y=19 ANS.
Y-11=0
Y=11 ANS.
PROOF:
19+11=30
30=30
11*19=209
209=209
RELATED QUESTIONS
y+3x-30=180 solve for x and y (answered by cleomenius)

How to solve for y and x using substitution and with y=x+(-1) and... (answered by ReadingBoosters)

I need to solve for both x and y x+y=20... (answered by jim_thompson5910)

y = (a - x) / (2a - x) Solve for x in terms of y and a. Not sure how to solve. (answered by math_tutor2020,MathTherapy)

solve for x and y in the equations: x + y =5; {{{x^y + y^x = 17}}} (answered by ankor@dixie-net.com)

Solve for x and y (x)/(y+1) = 3/2 ; (x+y)/(x-y) =... (answered by ewatrrr)

2*x/y=1/8,solve for x and... (answered by Alan3354,josgarithmetic)

solve for x and y 2x-y=-1... (answered by richwmiller)

Solve for x and y 15/x-y + 22/x+y = 5 40/x-y + 55/x+y... (answered by ankor@dixie-net.com,ikleyn,MathTherapy)