To find the value of [tex]\( k \)[/tex] when [tex]\( x = 2 \)[/tex] and [tex]\( y = 1 \)[/tex] for the equation [tex]\( x + 5y = k \)[/tex], follow these steps:
1. Substitute the given values into the equation:
- [tex]\( x = 2 \)[/tex]
- [tex]\( y = 1 \)[/tex]
The equation is:
[tex]\[
x + 5y = k
\][/tex]
Substituting the values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex]:
[tex]\[
2 + 5 \cdot 1 = k
\][/tex]
2. Perform the multiplication:
- Calculate [tex]\( 5 \cdot 1 \)[/tex]:
[tex]\[
5 \cdot 1 = 5
\][/tex]
3. Add the results:
- Combine the results from the substitution and multiplication:
[tex]\[
2 + 5 = 7
\][/tex]
4. Conclude the value of [tex]\( k \)[/tex]:
[tex]\[
k = 7
\][/tex]
Therefore, the value of [tex]\( k \)[/tex] is 7 when [tex]\( x = 2 \)[/tex] and [tex]\( y = 1 \)[/tex].
