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
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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) (Show Source): You can put this solution on YOUR website!
.
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.
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