SOLUTION: Solve for x: y = x2 + 5 6x – y = 3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve for x: y = x2 + 5 6x – y = 3      Log On


   



Question 889093: Solve for x: y = x2 + 5
6x – y = 3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.y+=+x%5E2+%2B+5
2.6x+%96+y+=+3
Substitute,
6x-%28x%5E2%2B5%29=3
-x%5E2%2B6x-5=3
-x%5E2%2B6x-8=0
x%5E2-6x%2B8=0
%28x-4%29%28x-2%29=0
Two solutions:
x-4=0
x=4
Then,
y=4%5E2%2B5
y=16%2B5
y=21
and
x-2=0
x=2
Then,
y=2%5E2%2B5
y=4%2B5
y=9
(4,21) and (2,9)