In the equation 2x = 4 - x, transposing -x to LHS, we get x = 4. State whether the statement is true or false.

Solution:

Given, the equation is 2x = 4 - x

On transposing -x to LHS, we get x = 4.

We have to determine if the given statement is true or false.

The common transposition method is to do something mathematically to both sides of the equation, with the aim of bringing like terms together and isolating the variable.

Shifting one term from one side of an equation to another side with a change of sign is known as transposition.

According to the question,

By transposing -x to LHS, the equation becomes

2x + x = 4

3x = 4

Therefore, in transposing -x to LHS we get 3x = 4.

✦ Try This: In the equation 5x = 7 - 2x, transposing -2x to LHS, we get x = 1. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 41

In the equation 2x = 4 - x, transposing -x to LHS, we get x = 4. State whether the statement is true or false.

Summary:

The given statement, ”In the equation 2x = 4 - x, transposing -x to LHS, we get x = 4” is false.

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