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Question
identify whether each equation has infinitely many solutions, no solution, or one solution. -5=-5 infinite solutions 0 = 3 no solution x = 12 one solution
Step1: Analyze -5=-5
This is an identity. The left - hand side is equal to the right - hand side for all values of any variable (since there is no variable). So it has infinitely many solutions.
Step2: Analyze 0 = 3
This is a contradiction. The left - hand side and the right - hand side are never equal for any value of a variable. So it has no solution.
Step3: Analyze x = 12
This equation is solved for x. There is exactly one value of x (which is 12) that makes the equation true. So it has one solution.
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-5=-5: Infinite solutions
0 = 3: No solution
x = 12: One solution