Question

Determine the value(s) for which the rational expression 10c+6/7c-5is undefined

Answer 1

We are given the expression

`\frac{10c+6}{7c\text{ -5}}`

and we want to find the value of c for which this expression is undefined. Note that for rational expressions, they are undefined when we are dividing by 0. So, to find the value of c to which the expression is undefined, it suffices to find the value of c for which the denominator is 0. So we have the following equation

`7c\text{ -5=0}`

Now, we add 5 on both sides, so we get

`7c=5`

Finally, we divide both sides by 7. So we have

`c=(5)/(7)`

so when c=5/7 the expression is undefined