SOLUTION: Determine the number of solutions of the linear system 15x + 5y =310 and 17x -4y=593

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Question 1091103: Determine the number of solutions of the linear system 15x + 5y =310 and 17x -4y=593
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The first line is 

y = %28310-15x%29%2F5 = -5x+%2B+310%2F5.  It has the slope of (-5).


The second line is  

y = %2817x+-593%29%2F4 = %2817%2F4%29x+-+593%2F4.  It has the slope of 17%2F4.


Since the slopes are different, the straight lines are not parallel.


Hence. they have an intersection point, and this point is unique.


The intersection point represents the solution of the system.


So, you can conclude that the given system has ONE and ONLY ONE solution.

Solved.


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".