Question 1142239: Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so. 7x-5y=2, 14x-10y=4
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
Divide both sides of the second equation by 2. Then you will get the second equation in the form
7x - 5y = 2,
which is identical to the first equation.
It means, that the two given equations are DEPENDENT, so the system has INFINITELY MANY solutions.
The two given equations, actually, represents ONE straight line.
My analysis is completed.
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On classification of system of two linear equations in two unknowns, 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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