Two different equations can never have the same answer. State whether the statement is true or false.

Solution:

Given, two different equations can never have the same answer.

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

Example: (i) Consider equation 2x + 5 = 11

On solving for x,

2x = 11 - 5

2x = 6

x = 6/2

x = 3

(ii) Consider equation 3y - 1 = 8

On solving for y,

3y = 8 + 1

3y = 9

y = 9/3

y = 3

We observe that two different equations have the same solution as 3.

Therefore, two different equations can have the same solution.

✦ Try This: In the equation x - 2 = 11, transposing -2 to RHS, we get x = 12. State whether the statement is true or false.

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

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NCERT Exemplar Class 8 Maths Chapter 4 Problem 39

Two different equations can never have the same answer. State whether the statement is true or false.

Summary:

The given statement, ”Two different equations can never have the same answer” is false.

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☛ Related Questions:

• In the equation 3x - 3 = 9, transposing -3 to RHS, we get 3x = 9. State whether the statement is tru . . . .
• In the equation 2x = 4 - x, transposing -x to LHS, we get x = 4. State whether the statement is true . . . .
• If 15/8 - 7x = 9, then -7x = 9 + 15/8. State whether the statement is true or false