SOLUTION: Solve the system of equations graphically. If the system does not have a single ordered pair as a​ solution, state whether the system is inconsistent or dependent. y= 1/3x+7

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve the system of equations graphically. If the system does not have a single ordered pair as a​ solution, state whether the system is inconsistent or dependent. y= 1/3x+7       Log On


   

Question 1147070: Solve the system of equations graphically. If the system does not have a single ordered pair as a​ solution, state whether the system is inconsistent or dependent.
y= 1/3x+7
3y=x+21
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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Multiply the first equation by 3 (both sides), and you will see that it becomes identical to the second equation.

It means that the two equations are EQUIVALENT and represent the same line.

Such equations/systems are called dependent.

They have INFINITELY MANY solutions (all points of coinciding straight lines).


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See the lesson
    - Geometric interpretation of the linear system of two equations in two unknowns
in this site for more information.