Asked by nakeisha
                solve the systems of equations by graphing
2x-y=1
8x-4y=+8
            
        2x-y=1
8x-4y=+8
Answers
                    Answered by
            Henry
            
    2X-Y=1.   (0,-1), (1,1)
8X-4Y=8. (0,-2), (1,0)
The solution of the two equations is the point where their graphs intersect.
The graph using the above points showed that the lines are parallel and
do not intersect. Therefore. there is no solution. The two lines have equal
slopes which further proves that they are parallel. Slope1=-A/B=-2/-1=2, Slope2=-8/-4=2. If you solved the two equations mathematically using the
elimination method.the results will
be 0=4 which is not a true statement
and further proves that there is no
solution.
    
8X-4Y=8. (0,-2), (1,0)
The solution of the two equations is the point where their graphs intersect.
The graph using the above points showed that the lines are parallel and
do not intersect. Therefore. there is no solution. The two lines have equal
slopes which further proves that they are parallel. Slope1=-A/B=-2/-1=2, Slope2=-8/-4=2. If you solved the two equations mathematically using the
elimination method.the results will
be 0=4 which is not a true statement
and further proves that there is no
solution.
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