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 =

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(52798) (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.

RELATED QUESTIONS
Solve the system by substitution, if possible. (If the system is inconsistent, enter... (answered by fractalier)

Solve the system by substitution, if possible. (If the system is inconsistent, enter... (answered by ikleyn)

Solve the system by graphing. (If the system is inconsistent, enter INCONSISTENT. If the... (answered by Fombitz)

Solve by graphing. (If the system is inconsistent, enter INCONSISTENT. If the system is... (answered by ewatrrr)

Solve the system by graphing. (If the system is inconsistent, enter INCONSISTENT. If the... (answered by TimothyLamb)

I'm having problems with this can anyone help me? Solve the system by graphing, if... (answered by swincher4391,lynnlo)