If x/3 + 1 = 7/15, then x/3 = 6/15. State whether the statement is true or false.
Solution:
Given, if x/3 + 1 = 7/15, then x/3 = 6/15.
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.
By transposing 1 to RHS,
x/3 = 7/15 - 1
x/3 = (7-15)/15
x/3 = -8/15
Therefore, after transposing the equation becomes x/3 = -6/15
✦ Try This: If x/2 + 4 = 6/5, then x/2 = 2/5. 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 43
If x/3 + 1 = 7/15, then x/3 = 6/15. State whether the statement is true or false.
Summary:
The given statement, ”If x/3 + 1 = 7/15, then x/3 = 6/15” is false.
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