Question

How do you solve $ \dfrac{6}{z} = \dfrac{3}{5} $ ?

Answer 1

Hint: In the question, we are provided with a linear equation with “z” as its variable. Use the cross-multiplication method because it is the easiest way to solve the linear equation. Then solve the calculations and find the value of “z”.

Complete step by step solution:
In the question, we are provided with an expression with “z” as variable and we have to find the value of this variable.
There are many methods for solving such expressions, you can take the steps according to your convenience. We are here taking the method for cross multiplication.
In this method, multiply the denominator of the right-hand side to the numerator of the left-hand side and equal to the denominator of the left-hand side to the numerator of the right-hand side.
 $ 6 \times 5 = 3 \times z $
Solving the expression on taking the “z” to the left-hand side.
 $\Rightarrow z = \dfrac{{6 \times 5}}{3} = 10 $
So, the solution is $ z = 10 $ . This is our required answer.
So, the correct answer is “z=10”.

Note: We can take another method for solving this expression. As firstly reversing the expression on both sides and then taking the variable to the left-hand side and multiplying with the constants we will get the same answer as above.