tell whether each equation has one solution, zero solutions or infinite solutions

5(x-3)+6=5x-9

1 answer

If when you solve, the x's cancel and you are left with something like 5=5 that means there are an infinite number of solutions. This means that any number you choose will work. If you are left with something false like 0 =5, then there are no solutions.

5x -15 + 6 = 5x - 9
-9 = -9 True.. Infinite number of solutions.

Try substituting "0", "1", "10" and you will see that all three work.
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