<PRE><B>Question 217529</B>
Solve the system of equations using the addition method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not specify whether the answer is no solution or infinitely many solutions.]


3x-11y = 9  Equation A
-9x+ 33y = -27  Equation B


Step 1.  Multiply Equation A by 3:  {{{3*3x-3*11=9*3}}} to get Equation A1 below:


9x-33y=27   Equation A1
-9x+33y=-27  Equation B


Step 2.  Add Equations A1 and B to get



{{{9x-9x-33y+33y=27-27}}}


{{{0=0}}} which means that there are many solutions and these equations are not independent.


Step 3. ANSWER:  There are an infinite number of solutions that satisfies the above linear system of equations.


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J


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