To construct a two-digit number from the given digits [tex]\( x = 1 \)[/tex] and [tex]\( y = 7 \)[/tex], we follow these steps:
1. Understand the Problem:
- We need to construct a two-digit number where the tens digit is [tex]\( x \)[/tex] and the units digit is [tex]\( y \)[/tex].
2. Place the Digits in Their Proper Places:
- The digit [tex]\( x \)[/tex] represents the tens place.
- The digit [tex]\( y \)[/tex] represents the units place.
3. Form the Two-Digit Number:
- Place [tex]\( x \)[/tex] in the tens place: [tex]\( 10 \times 1 = 10 \)[/tex].
- Place [tex]\( y \)[/tex] in the units place, which is simply [tex]\( 7 \)[/tex].
4. Combine the Digits:
- Add the value of the tens place and the value of the units place together: [tex]\( 10 + 7 = 17 \)[/tex].
Thus, the two-digit number formed by the digits [tex]\( x = 1 \)[/tex] and [tex]\( y = 7 \)[/tex] is [tex]\( 17 \)[/tex].
