Let's determine the value of [tex]\( y \)[/tex] given [tex]\( x = 1 \)[/tex].
We are given the system of equations:
[tex]\[
\begin{array}{l}
3x + y = 9 \\
y = -4x + 10
\end{array}
\][/tex]
1. We know [tex]\( x = 1 \)[/tex]. Substitute [tex]\( x = 1 \)[/tex] into the second equation to find [tex]\( y \)[/tex]:
[tex]\[
y = -4x + 10
\][/tex]
[tex]\[
y = -4(1) + 10
\][/tex]
2. Simplify the expression:
[tex]\[
y = -4 + 10
\][/tex]
[tex]\[
y = 6
\][/tex]
Thus, the value of [tex]\( y \)[/tex] is:
[tex]\[
y = 6
\][/tex]
