Question

solve the following equation 3×-5=0 please explain the problem ​

Answer 1

Topic

• Numbers- Fractions

A fraction is a value that is divided into equal pieces.

• Algebra- Linear Equations

This equation has one variable. According to the value of $x$, the equation will be true or false. Solving an equation means finding the value that makes the equation true.

Question

How do you solve $3x-5=0$?

Solution

The method to solve the equation is often likened to a balance weight. Let's see how both are linked.

The assumption we make is when we add or remove the same weight, the balance still holds.

Now let's see.

There are two kinds of unit weights, $x$ and 1.

Let's suppose there is no weight on one side. $3x-5$ is a balance that has no weight.

$\implies 3x-5=0$

We add five $1$s to keep the balance.

$\implies 3x=5$

Now as three weights of $x$ satisfy the balance, we divide two remaining weights into three equal parts. Now one part of the weight is equal to 5 divided by 3. $\bold{[1]}$

$\implies x=\dfrac{5}{3}$

Since $x$ is the wanted variable, the value that makes equal balance is $\dfrac{5}{3}$.

Information

$\bold{[1]}$ Attachment included.