SOLUTION: If the expression: 5t + 8/3t - 7 is to make sens the values that t can take must be restricted. State the restriction on t. Please help I do not understand this question at al

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Question 183009: If the expression: 5t + 8/3t - 7 is to make sens the values that t can take must be restricted. State the restriction on t.
Please help I do not understand this question at all.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Set the denominator equal to zero.


Remember, dividing by 0 is undefined. So if we find values of "t" that make the denominator zero, then we must restrict those values.


Add 7 to both sides


Combine like terms on the right side


Divide both sides by 3 to isolate t


So this means that makes the denominator equal to zero.


So we MUST make the restriction to avoid dividing by zero (since makes the denominator equal to zero).

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