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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

%285t%2B8%29%2F%283t-7%29 Start with the given expression.


3t-7=0 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.


3t=0%2B7 Add 7 to both sides


3t=7 Combine like terms on the right side


t=7%2F3 Divide both sides by 3 to isolate t


So this means that t=7%2F3 makes the denominator 3t-7 equal to zero.


So we MUST make the restriction t%3C%3E7%2F3 to avoid dividing by zero (since t=7%2F3 makes the denominator equal to zero).