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

Algebra ->  Linear-equations -> 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       Log On


   

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) About Me  (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: 3%2A3x-3%2A11=9%2A3 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%2B33y=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.

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Good luck in your studies!

Respectfully,
Dr J