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How many solutions does a system of linear equations in three variables have if in solving the system you correctly obtain the equation 12=12?

2 Answers

3 votes
when you see that one number gives you the same number, that concludes that there are infinite possible ways to write those numbers into an equation.
User Constantin Guay
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Anytime you find an equality that is always true, it means that there are infinitely many solutions.

If you arrive at 12=12, it means that the equations are always equal.
User Deadroxy
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