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

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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)   (Show Source): You can put this solution on YOUR website!
Solve the system of equations:
1)
2) Subtract 9 from both sides.
2) Now multiply equation 1) by 3 and equation 2) by 2.
1a)
2a) Add equations 1a) and 2a) to get:
3) Divide both sides by 19, so...
Now substitute this value of x into either equation 1) or equation 2. Let's use equation 1).
1) Substitute x = 0.
Simplify.
Divide both sides by -2.

The solution is: (0, -3)

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