Question 224332
Solve the system of equations by graphing:
 
2y-6=0
x+8y=16


1.  Graphing the two leads to the following picture:


{{{graph(600,600, -20, 20, -5, 10, 3, -x/8+2)}}}


2.  ANSWER:  Based on the graph, the two lines intersect at point (-8, 3) or x=-8 and y=3.


Check if the point (-8,3) satisfies the equations:


2y-6=0 so at y=3 then 2*3-6=0  which is a true statement.


x+8y=16 so at x=-8 and y=3 then -8+8*3=-8+24=16 which is a true statement.


So the intersection point (-8,3) is a solution to the system of equations.


I hope the above steps and explanation were helpful.


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Respectfully,
Dr J

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