Question 225001
Graph and check: "graph the linear system and estimate the solution. Then check the solution algebraically.


{{{2x+y=5}}}
{{{x+y=2}}}


Step 1.  Graph the linear system of equations


{{{graph(400,400, -10,10,-5,5,-2x+5,-x+2)}}}


Step 2.  Based on the above graph, the intersection point is (3,-1).


Step 3.  Check if (3,-1) or x=3 and y=-1 satisfies the system of equaitons


Given {{{2x+y=5}}}, then {{{2*3+(-1)=5}}} which is a true statment.
Given {{{x+y=2}}}, then {{{3+(-1)=2}}} which is a true statement.


Step 4.  ANSWER:  The solution sis (3,-1) or x=3 and y=-1.


I hope the above steps and explanation were helpful. 


For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. 


Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J


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