First option is correct i.e. the given equation has no solution.
What is linear equation in one variable?
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0.
What is solution to the equation?
Solution to a equation is a value of the variable for which the given statement is true.
According to the question
we have
An equation, [tex]\frac{3}{4z} -\frac{1}{4z} + 3 = \frac{2}{4z} +5[/tex]
We can write the above equation as
[tex]\frac{3}{4z} -\frac{1}{4z}+3-\frac{2}{4z} -5=0[/tex]
⇒[tex]\frac{3-1-2}{4z} -2=0[/tex]
⇒ [tex]\frac{0}{4z} -2=0[/tex]
⇒[tex]\0-2=0[/tex] (this is not possible because 2≠0)
⇒ the given equation has no solution.
Hence, first option is correct i.e. the given equation has no solution.
Learn more about solution to the equation here:
https://brainly.com/question/1270150
#SPJ2
