Question 183009

{{{(5t+8)/(3t-7)}}} 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+7}}} Add 7 to both sides



{{{3t=7}}} Combine like terms on the right side



{{{t=7/3}}} Divide both sides by 3 to isolate t



So this means that {{{t=7/3}}} makes the denominator {{{3t-7}}} equal to zero.



So we MUST make the restriction {{{t<>7/3}}} to avoid dividing by zero (since {{{t=7/3}}} makes the denominator equal to zero).