SOLUTION: Please graph the problem using slope-intercept method. 1. x = 3 - 3y x + 3y = -6 Thank you

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Question 1153976: Please graph the problem using slope-intercept method.
1. x = 3 - 3y
x + 3y = -6

Thank you
Found 3 solutions by josgarithmetic, ramkikk66, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
If a system to solve, use the very obvious substitution to start it.


--------------------
x = 3 - 3y
x + 3y = -6
-------------------


---------------------but this will not work. NO SOLUTION.
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
The two equations you have given are
x = 3 - 3y ---- (1)
x + 3y = -6 ---- (2)
Moving x and y terms to same side in (1) we get
x + 3y = 3
and from (2) we see x + 3y = -6
Clearly 3 is NOT equal to -6. So there is something wrong with one of the equations and they cannot be solved as such. Please check and resubmit your problem.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

These two equations represent two parallel lines.


They have no intersection -- therefore, the given system is inconsistent.


In other words, it has no solutions.


The graphical illustration to the problem is a pair of parallel lines.

--------------

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

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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