SOLUTION: 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
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Question 217529: 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
-9x+ 33y = -27
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
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: to get Equation A1 below:
9x-33y=27 Equation A1
-9x+33y=-27 Equation B
Step 2. Add Equations A1 and B to get
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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