Question

Solve: $\dfrac{7}{y} + 1 = 29$

Answer 1

Hint: This is a linear equation in one variable. This question will be solved by taking $y$to one side and all the constants to the other side.

Complete Step by Step Solution:
We have $\dfrac{7}{y} + 1 = 29$
By multiplying both the sides by $y,$we get
$7 + y = 29y$
Now take $y$to the right side of the equation
$ \Rightarrow 7 = 29y - y$
$ \Rightarrow 7 = 28y$
Rearranging the equation, we get
$28y = 7$
Divide both the sides by 28
$ \Rightarrow y = \dfrac{7}{{28}}$
$ \Rightarrow y = \dfrac{1}{4}$

Note: You can observe that, in this question, the variable is in the denominator. In such a case, the value of the denominator cannot be equal to zero. Because if the variable becomes zero then the fraction will become infinity, which will give no solution.