Final answer:
To find the value of z in the equation y² + (6z/2) = 25 where y=4, substitute y with 4, simplify, and solve for z to get z=3.
Step-by-step explanation:
To solve for z in the equation y² + 6z/2= 25 with y=4, first substitute the value of y into the equation:
4² + 6z/2 = 25
Let's simplify the equation step-by-step:
16 + 3z = 25
Now, subtract 16 from both sides to solve for 3z:
3z = 25 - 16
3z = 9
Finally, divide both sides by 3 to find the value of z:
z = 9/3
z = 3
The correct solution for z when y=4 in the given equation is z = 3.