Question

How do you solve \[\dfrac{3}{4}=\dfrac{7}{x}\] ?

Answer 1

Hint: These types of problems are pretty straight forward and are very easy to solve. For problems like these we need to find out the value of the one and only unknown parameter, here, ‘x’. We first need to express our problem in the general form and then evaluate accordingly. The general form of this polynomial of degree one equations is,
\[ax=b\]
In this linear equation, ‘a’ is the index, ‘x’ is the unknown parameter and ‘b’ is a mere constant. We first need to transform the equation by rearranging the terms of the equation and convert them into an equation similar to that of the general form. After this, we make the necessary calculations to find the value of the unknown parameter.

Complete step by step solution:
Now, we start off with the solution of the problem and write it as,
Our given problem here is,
\[\dfrac{3}{4}=\dfrac{7}{x}\]
We need to rearrange in such a manner that all the like terms of the equation are on one side and the rest like terms on the other side. For this, we cross multiplying both the sides of the equations and we get,
\[3x=28\]
Now, from this above equation we can easily evaluate for the value of ‘x’ as,
\[x=\dfrac{28}{3}\]

Note: Since our given problem is a part of linear equations, we need to have an in-depth knowledge of linear equations. This particular problem can also be solved using the theory of graphs. In this method we take both the left hand and right hand sides of the equations as functions and plot them on the graph paper. The point of intersection of the two functions gives us our required answer.