SOLUTION: Hello, Please help solve this problem,thank you. xy = 3 x + y = 4

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hello, Please help solve this problem,thank you. xy = 3 x + y = 4       Log On


   



Question 372393: Hello,
Please help solve this problem,thank you.
xy = 3
x + y = 4

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.xy+=+3+
2.x+%2B+y+=+4
From eq. 2,
x=4-y
Substitute into eq. 1,
%284-y%29y=3
4y-y%5E2=3
y%5E2-4y%2B3=0
%28y-1%29%28y-3%29=0
Two solutions,
y-1=0
y=1
Then
x=3%2F1=3
(3,1)
.
.
.
y-3=0
y=3
Then
x=3%2F3=1
(1,3)
.
.
.