To find the value of [tex]\( x \)[/tex] in the equation [tex]\( 3x - 4y = 65 \)[/tex] when [tex]\( y = 4 \)[/tex], we follow these steps:
1. Substitute the value of [tex]\( y \)[/tex] into the equation:
[tex]\[
3x - 4(4) = 65
\][/tex]
2. Simplify the equation:
[tex]\[
3x - 16 = 65
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
[tex]\[
3x - 16 + 16 = 65 + 16
\][/tex]
[tex]\[
3x = 81
\][/tex]
4. Divide both sides by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{81}{3}
\][/tex]
[tex]\[
x = 27
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 27 \)[/tex].
This value does not match any of the provided options, which means there might be an issue with the given choices or the provided values. Please double-check the given options again.
