To find the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] equals 11 in the equation [tex]\( -2x + 9y = 5 \)[/tex], follow these steps:
1. Start by substituting [tex]\( x = 11 \)[/tex] into the given equation:
[tex]\[
-2(11) + 9y = 5
\][/tex]
2. Perform the multiplication on the left side:
[tex]\[
-22 + 9y = 5
\][/tex]
3. To isolate the term with [tex]\( y \)[/tex], add 22 to both sides of the equation:
[tex]\[
9y = 5 + 22
\][/tex]
4. Simplify the right side by performing the addition:
[tex]\[
9y = 27
\][/tex]
5. Finally, solve for [tex]\( y \)[/tex] by dividing both sides of the equation by 9:
[tex]\[
y = \frac{27}{9}
\][/tex]
6. Simplify the fraction:
[tex]\[
y = 3
\][/tex]
Therefore, when [tex]\( x \)[/tex] equals 11, the value of [tex]\( y \)[/tex] is [tex]\( 3 \)[/tex].
