To find out how many hours of overtime the employee worked, we can use the given equation for the weekly wage:
[tex]\[ y = 720 + 27x \][/tex]
where [tex]\( y \)[/tex] is the weekly wage, and [tex]\( x \)[/tex] is the number of overtime hours worked.
Given:
[tex]\[ y = 936 \][/tex]
We need to find the value of [tex]\( x \)[/tex] that satisfies this equation. Let's substitute [tex]\( y = 936 \)[/tex] into the equation:
[tex]\[ 936 = 720 + 27x \][/tex]
To solve for [tex]\( x \)[/tex], we first isolate the term involving [tex]\( x \)[/tex]:
[tex]\[ 936 - 720 = 27x \][/tex]
This simplifies to:
[tex]\[ 216 = 27x \][/tex]
Next, we solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 27:
[tex]\[ x = \frac{216}{27} \][/tex]
[tex]\[ x = 8 \][/tex]
Therefore, the employee worked 8 hours of overtime that week.
