SOLUTION: Solve the system by substitution, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x or y.) y =

Algebra ->  Coordinate-system -> SOLUTION: Solve the system by substitution, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x or y.) y =       Log On


   

Question 1190646: Solve the system by substitution, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x or y.)
y = 2x − 1
x + y = 14
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the system by substitution, if possible.
(If the system is inconsistent, enter INCONSISTENT.
If the system is dependent, enter a general solution in terms of x or y.)
y = 2x − 1
x + y = 14
~~~~~~~~~~~~~~~~~~ 

In the second equation, replace "y" by 2x-1, based on the first equation.
You will get then single equation for unknown x

    x + (2x-1) = 14.


Simplify and find x

    x + 2x = 14 + 1

      3x   =   15

       x   =   15/3 = 5.


Then from the first given equation you get

    y = 2*5-1 = 9.


ANSWER.  x= 5;  y= 9.

Solved.