Question

\[2x - 1 = 14 - x\]
\[x = 5\]
If this is true enter 1, if this is false enter 0.

Answer 1

Hint: Put both the value in the equation and check which value is satisfying.

Complete step-by-step answer:
Given \[2x - 1 = 14 - x\]
Need to check for \[x = 5\]
\[
   \Rightarrow (2 \times 5) - 1 = 14 - 5 \\
   \Rightarrow 10 - 1 = 9 \\
   \Rightarrow 9 = 9 \\
\]
Since both sides are the same value of x holds for the equation.
So we need to enter 1.

Additional information:
Sometimes we need to check the same equation for different values of variables.
Variable is one whose value changes as per solution.
Generally the alphabets are used to represent the variables.
Whereas a constant is having affixed value.

Note: These are substitution types of problems. In these we just need to verify whether the given value of the variable satisfies the given equation or not. Sometimes it involves checking R. H. S. and L. H. S. separately.