( x + 8.92) - (0.75 - y ) + z = 11.89
X Options = -5.67 OR 5.67
Y Options = 1.25 OR -1.25
Z Options = -3.2 OR 3.2
Did my own work, the answer is the following;
(5.67 + 8.92) - (0.75 - 1.25) + -3.2 = 11.89
Thank you for your help though @Reiny! :)
Strange question with strange choices.
I suppose you could check each of the 8 options
e.g.
option #1 : x = -5.67 , y = 1.25, z = -3.2
option #2 : x = -5.67 , y = 1.25, z = +3.2
etc
You might do some mental approximations seeing that the sum has to be appr 12
To determine the values of x, y, and z that satisfy the equation (x + 8.92) - (0.75 - y) + z = 11.89, we can substitute the given options into the equation and see which options make the equation true.
Let's substitute the values for x, y, and z one by one:
1. Substitute x = -5.67:
(-5.67 + 8.92) - (0.75 - y) + z = 11.89
3.25 - (0.75 - y) + z = 11.89
3.25 - 0.75 + y + z = 11.89
2.5 + y + z = 11.89
y + z = 9.39
2. Substitute x = 5.67:
(5.67 + 8.92) - (0.75 - y) + z = 11.89
14.59 - (0.75 - y) + z = 11.89
14.59 - 0.75 + y + z = 11.89
13.84 + y + z = 11.89
y + z = -1.95
From the equation y + z = 9.39, neither y = 1.25 nor y = -1.25 satisfy this equation.
From the equation y + z = -1.95, neither y = 1.25 nor y = -1.25 satisfy this equation.
Therefore, none of the given options for x and y satisfy the equation.
For z, we can substitute the given options into the equation:
1. Substitute z = -3.2:
(x + 8.92) - (0.75 - y) + (-3.2) = 11.89
(x + 8.92) - 0.75 + y - 3.2 = 11.89
x + y + 5.97 = 11.89
x + y = 5.92
2. Substitute z = 3.2:
(x + 8.92) - (0.75 - y) + 3.2 = 11.89
(x + 8.92) - 0.75 + y + 3.2 = 11.89
x + y + 11.37 = 11.89
x + y = 0.52
From the equation x + y = 5.92, neither x = -5.67 nor x = 5.67 satisfy this equation.
From the equation x + y = 0.52, neither x = -5.67 nor x = 5.67 satisfy this equation.
Therefore, none of the given options for x and y satisfy the equation.
In conclusion, none of the given options for x, y, and z satisfy the equation.
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.