Question 225024
Solve the system of equations by graphing. Then classify


6x + y = 46
7x + 8y = 40


Step 1.  Graph the two lines from above as shown below


{{{graph(400,400, -10,10,-10,10, -6x+46, -7x/8+5)}}}


Step 2.  Based on the graph the intersection point is (8,-2) or x=8 and y=-2.


Step 3.  Check if the solution (8,2) satisfies the above linear system of equations


6x + y = 46 or 6*8+-2=46 or 46=46 which is a true statement
7x + 8y = 40 or 7*8+8*(-2)=40 or 40=40 which is another true statement


Step 4.  ANSWER:  The solution is (8,2).  The equations are independent and consistent providing a unique solution.


I hope the above explanation was useful.


And good luck in your studies!


For free Step-By-Step Videos on Introduction to Algebra, please visit 

http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit 

http://www.FreedomUniversity.TV/courses/Trigonometry.


Respectfully,
Dr J