SOLUTION: i'm not quite sure how to solve this using substitution. y=4x x+y=5 I got(1/4,1) but i'm not quite sure if thats the right answer. Also, does the system have exactly one sol

Algebra ->  Expressions-with-variables -> SOLUTION: i'm not quite sure how to solve this using substitution. y=4x x+y=5 I got(1/4,1) but i'm not quite sure if thats the right answer. Also, does the system have exactly one sol      Log On


   



Question 5473: i'm not quite sure how to solve this using substitution.
y=4x
x+y=5
I got(1/4,1) but i'm not quite sure if thats the right answer.
Also, does the system have exactly one solution, or more?
Thanks for helping me!

Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
if y=4x, then substitute this into the second equation:
x+(y)=5
x+(4x)=5
5x=5
x=1
If x=1, then
y=4*1 or 4
the solution set is verified by testing these numbers in the other equation:
x+y=5
1+4=5 this is true so the answer has one solution:
(1,4)
The answer is put into parentheses, because we are talking about a point on a graph - where do these two lines cross? The answer is (1,4)