Question 1077905: Consider the eqautions 3x+4y=7 and 6x+8y=13. Is the pair of equations consistent, inconsistent, or dependant?
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
The pair of equations is inconsistent.
Indeed, the left sides of the equations are proportional with the proportionality coefficient 2
( 2 is the ratio of coefficients of the second equation to that of the first equation).
At the same time, the right sides are NOT proportional with the same coefficient.
Therefore, the system HAS NO solutions.
In other words, it is INCONSISTENT.
See the lesson
- Geometric interpretation of a 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".
|
|
|
