
Any value of a variable that makes both sides of an equation equal is known as a…………………. of the equation.
Answer
555.9k+ views
Hint: The solution of an equation is the value which makes both sides of an equation equal.
We can understand this by an example
Let a equation is
$x - 2 = 7$
Complete step-by-step answer:
The equation is
$x - 2 = 7$
On solving this equation by moving $2$from left-hand side to right-hand side
$
x = 7 + 2 \\
x = 9 \\
$
The solution of the equation is $9$ so this solution will make this equation equal if we put this solution in the equation
On putting the value in equation
$
x - 2 = 7 \\
9 - 2 = 7 \\
7 = 7 \\
$
Thus both sides of the equation are equal so the solution makes both sides of an equation equal.
Note: The solution of every equation is unique and every equation can be solved by different methods to find its solution.
When we solve an equation and get a solution, then by putting this solution in the equation we can make both sides of the equation equal. If it is not equal then our solution is wrong.
We can understand this by an example
Let a equation is
$x - 2 = 7$
Complete step-by-step answer:
The equation is
$x - 2 = 7$
On solving this equation by moving $2$from left-hand side to right-hand side
$
x = 7 + 2 \\
x = 9 \\
$
The solution of the equation is $9$ so this solution will make this equation equal if we put this solution in the equation
On putting the value in equation
$
x - 2 = 7 \\
9 - 2 = 7 \\
7 = 7 \\
$
Thus both sides of the equation are equal so the solution makes both sides of an equation equal.
Note: The solution of every equation is unique and every equation can be solved by different methods to find its solution.
When we solve an equation and get a solution, then by putting this solution in the equation we can make both sides of the equation equal. If it is not equal then our solution is wrong.
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