SOLUTION: solve the following system of equations.. x + 5y =5 (1),.. x=3-5y (2)

Algebra ->  Expressions-with-variables -> SOLUTION: solve the following system of equations.. x + 5y =5 (1),.. x=3-5y (2)      Log On


   

Question 384179: solve the following system of equations.. x + 5y =5 (1),.. x=3-5y (2)
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
x + 5y =5
x=3-5y

The second equation already has x isolated, so let's substitute that value of x into the first equation:

x+5y=5
(3-5y) + 5y = 5
3 -5y + 5y = 5
3 + 0 = 5
3 = 5

This is not true, so it means there is no solution. This is because these two lines have identical slopes. They are parallel lines, so they never intersect.