Answer:
The value of the variable which makes the equation a true statement is called the solution of the equation.
Step by step explanation:
In an equation, we have an equality between two expressions or values. The solution of the equation is the value or values of the variable that satisfy the equation and make it true.
For example, let's consider the equation 2x + 5 = 15. To find the solution, we need to determine the value of x that makes the equation true.
We can start by isolating the variable by subtracting 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5,
2x = 10.
Next, we divide both sides of the equation by 2 to solve for x:
2x/2 = 10/2,
x = 5.
Therefore, the solution to the equation 2x + 5 = 15 is x = 5, because when we substitute x = 5 back into the equation, we get a true statement:
2(5) + 5 = 15,
10 + 5 = 15,
15 = 15.
So, x = 5 is the value of the variable that makes the equation a true statement, and we call it the solution of the equation.