Find and correct the errors in the following mathematical statements. ...
An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.
Given,
x + 2x + 3x = 5x
Solving LHS we get,
x + 2x + 3x
= x(1 + 2 + 3) = 6x [By adding them, as they are like terms]
But RHS = 5x
Thus, L.H .S. ≠ R.H.S.
The correct statement is x + 2x + 3x = 6x
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Find and correct the errors in the following mathematical statements. ...
Correcting the Error in the Mathematical Statement
To find the error in the given mathematical statement and correct it, let's analyze the expression step by step.
The given mathematical statement is:
x + 2x + 3x = 5x
Identifying the Error
The error in the statement is that the equation is not balanced. The left-hand side (LHS) and the right-hand side (RHS) of the equation are not equal.
Correcting the Error
To correct the error, we need to ensure that the LHS and RHS of the equation are equal.
Let's simplify the equation by combining like terms on the LHS:
x + 2x + 3x = 5x
(1 + 2 + 3)x = 5x
6x = 5x
Now, we can see that the LHS and RHS of the equation are equal. However, this equation implies that 6x is equal to 5x, which is not true for any value of x. Therefore, the original statement is incorrect.
Correct Answer: Option B
Since none of the given options correctly balance the equation, the correct answer would be option B as it matches the original incorrect statement.
Explanation for Option B
Option B states that x + 2x + 3x = 6x, which is incorrect. This equation implies that 6x is equal to 6x, which is true for any value of x. However, it does not balance the original equation x + 2x + 3x = 5x.
Therefore, option B is the correct answer based on the given options, but it still does not correct the error in the original statement.
Find and correct the errors in the following mathematical statements. ...
X+2x+3x=6x
x+5x=6x
6x=6x
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