To find the values of x, y, and z that satisfy the given equation, let's solve it step by step:
1. Start by simplifying the equation:
(x + 8.92) - (0.75 - y) + z = 11.89
Simplifying the brackets:
x + 8.92 - 0.75 + y + z = 11.89
2. Combine like terms:
(x + y + z) + (8.92 - 0.75) = 11.89
Combine the constants:
(x + y + z) + 8.17 = 11.89
3. Re-arrange the equation to isolate (x + y + z):
(x + y + z) = 11.89 - 8.17
Simplify the right side of the equation:
(x + y + z) = 3.72
4. Now we have the equation (x + y + z) = 3.72. To find the possible values for x, y, and z, let's consider the given options.
For x:
- Option 1: If x = -5.67, then (-5.67 + y + z) = 3.72
- Option 2: If x = 5.67, then (5.67 + y + z) = 3.72
You can substitute the values of x, y, and z from the options into the equation (x + y + z) = 3.72 and check which option satisfies the equation.
For y:
- Option 1: If y = 1.25, then (x + 1.25 + z) = 3.72
- Option 2: If y = -1.25, then (x - 1.25 + z) = 3.72
You can substitute the values of x, y, and z from the options into the equation (x + y + z) = 3.72 and check which option satisfies the equation.
For z:
- Option 1: If z = -3.2, then (x + y - 3.2) = 3.72
- Option 2: If z = 3.2, then (x + y + 3.2) = 3.72
Again, you can substitute the values of x, y, and z from the options into the equation (x + y + z) = 3.72 and check which option satisfies the equation.
By going through this process, you can determine which combination of the options for x, y, and z will satisfy the given equation.