Sure, let's solve for [tex]\( P \)[/tex] step-by-step given the equation [tex]\( 2x + 3y = p \)[/tex] and the values [tex]\( x = 2 \)[/tex] and [tex]\( y = 1 \)[/tex].
1. Substitute the given values into the equation:
Given:
- [tex]\( x = 2 \)[/tex]
- [tex]\( y = 1 \)[/tex]
- Equation: [tex]\( 2x + 3y = p \)[/tex]
2. Replace [tex]\( x \)[/tex] and [tex]\( y \)[/tex] with their given values:
[tex]\[
2(2) + 3(1) = p
\][/tex]
3. Perform the multiplication operations:
[tex]\[
4 + 3 = p
\][/tex]
4. Add the results:
[tex]\[
7 = p
\][/tex]
So, the value of [tex]\( P \)[/tex] is [tex]\( 7 \)[/tex].
