To solve for [tex]\( y \)[/tex] when [tex]\( x = -10 \)[/tex] in the equation
[tex]\[ 2x - 9y = -38, \][/tex]
we follow these step-by-step instructions:
1. Substitute [tex]\( x = -10 \)[/tex] into the equation:
[tex]\[
2(-10) - 9y = -38.
\][/tex]
2. Multiply:
[tex]\[
-20 - 9y = -38.
\][/tex]
3. Isolate the term with [tex]\( y \)[/tex] by moving the constant term to the other side. To do this, add 20 to both sides of the equation:
[tex]\[
-20 + 20 - 9y = -38 + 20,
\][/tex]
simplifying to:
[tex]\[
-9y = -18.
\][/tex]
4. Solve for [tex]\( y \)[/tex] by dividing both sides of the equation by -9:
[tex]\[
y = \frac{-18}{-9}.
\][/tex]
5. Simplify the fraction:
[tex]\[
y = 2.
\][/tex]
Thus, the value of [tex]\( y \)[/tex] when [tex]\( x = -10 \)[/tex] is [tex]\( 2. \)[/tex]
