Let's check whether Rahul's answer of [tex]\( x = \frac{15}{14} \)[/tex] is correct by taking the following steps:
1. Simplify the Fraction:
[tex]\[
\frac{15}{14}
\][/tex]
2. Convert the Fraction to a Decimal:
To convert [tex]\( \frac{15}{14} \)[/tex] to a decimal, perform the division:
[tex]\[
\frac{15}{14} = 1.0714285714285714
\][/tex]
3. Verification:
Compare [tex]\( x = \frac{15}{14} \)[/tex] to its decimal equivalence to verify accuracy:
[tex]\[
x = 1.0714285714285714
\][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( 1.0714285714285714 \)[/tex].
Conclusion:
Rahul is correct in claiming that [tex]\( x = \frac{15}{14} \)[/tex] because this fraction simplifies correctly to a decimal value of 1.0714285714285714.
