SOLUTION: Please help me solve this equation:Info: If the system has an infinite solution set,specify it and give three solutions. If the system has no solution, then it mentions for me to s

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help me solve this equation:Info: If the system has an infinite solution set,specify it and give three solutions. If the system has no solution, then it mentions for me to s      Log On


   

Question 156740This question is from textbook Algebra and Trigonometry
: Please help me solve this equation:Info: If the system has an infinite solution set,specify it and give three solutions. If the system has no solution, then it mentions for me to say so.
3x-2y=6
5x+3y+9=0
thank-you
 This question is from textbook Algebra and Trigonometry

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations:
1)3x-2y+=+6
2) 5x%2B3y%2B9=+0 Subtract 9 from both sides.
2) 5x%2B3y+=+-9 Now multiply equation 1) by 3 and equation 2) by 2.
1a) 9x-6y+=+18
2a) 10x%2B6y+=+-18 Add equations 1a) and 2a) to get:
3) 19x+=+0 Divide both sides by 19, so...
x+=+0 Now substitute this value of x into either equation 1) or equation 2. Let's use equation 1).
1) 3x-2y+=+6 Substitute x = 0.
3%280%29-2y+=+6 Simplify.
-2y+=+6 Divide both sides by -2.
y+=+-3
The solution is: (0, -3)