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Determine the number of solutions: -9x − 6y = -6 and 3x + 2y = 2.

Determine the number of solutions: -9x − 6y = -6 and 3x + 2y = 2.-example-1
User Tarikki
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1 Answer

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20 votes

-9x − 6y = -6

3x + 2y = 2.

I will use elimination

Multiply the second equation by 3

3(3x + 2y = 2.)

9x + 6y = 6

Add this to the first equation

-9x − 6y = -6

9x + 6y = 6

-------------------------

0 = 0

This means that they are the same line

The system will have infinite solutions

infinite solutions

User Raj Saraogi
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2.8k points