Answer:
The value of the expression is 1/5.
Step-by-step explanation:
The first step to solve this question is finding the values of u and t, solving the system.
u + t = 5
u - t = 2
Adding the two lines:
u + u + t - t = 5 + 2
2u = 7
u = 7/2
t = 5 - u = 5 - (7/2) = (10/2) - (7/2) = 3/2
Now we find the value of the expression:
[tex]\frac{u-t}{u^2-t^2}=\frac{\frac{7}{2}-\frac{3}{2}}{(\frac{7}{2})^2-(\frac{3}{2})^2}=\frac{\frac{4}{2}}{\frac{49}{4}-\frac{9}{4}}=\frac{2}{\frac{40}{4}}=\frac{2}{10}=\frac{1}{5}[/tex]The value of the expression is 1/5.
