Question 224445
Solve the equation with graphing then classify 


5x-y=10
5x+6y= -25


1.  Graphing the two leads to the following picture:


{{{graph(600,600, -5, 5, -10, 10, 5x-10, -5x/6-25/6)}}}


2.  ANSWER:  Based on the graph, the two lines intersect at point (1,-5) or x=1 and y=-5.


Check if the point (1,-5) satisfies the equations:


5x-y=10 so 5*1-(-5) then 5+5=10  which is a true statement.


5x+6y= -25 so then 5*1+6*(-5)=5-30=-25 which is a true statement.


So the intersection point (1,-5) is a solution to the system of equations.


I hope the above steps and explanation were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV