To find the value of [tex]\( y \)[/tex] when [tex]\( x = 12 \)[/tex] in the equation [tex]\( y = \frac{3}{5} x + 26 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 12 \)[/tex] into the equation:
[tex]\[
y = \frac{3}{5} \cdot 12 + 26
\][/tex]
2. First, calculate the product [tex]\(\frac{3}{5} \cdot 12\)[/tex]:
[tex]\[
\frac{3}{5} \cdot 12 = \frac{3 \cdot 12}{5} = \frac{36}{5} = 7.2
\][/tex]
3. Now, add 26 to the result:
[tex]\[
y = 7.2 + 26
\][/tex]
4. Perform the addition:
[tex]\[
y = 33.2
\][/tex]
Therefore, the value of [tex]\( y \)[/tex] when [tex]\( x = 12 \)[/tex] is [tex]\( 33.2 \)[/tex].
