Answer :
Answer:
[tex]T^\circ = -12^\circ[/tex]
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
[tex]T^\circ = M^\circ - 24^\circ[/tex]
From the second, we have:
[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]
This gives:
[tex]T^\circ = -T^\circ - 24^\circ[/tex]
Collect Like Terms
[tex]T^\circ +T^\circ =- 24^\circ[/tex]
[tex]2T^\circ =- 24^\circ[/tex]
Make T the subject
[tex]T^\circ =- 24^\circ/2[/tex]
[tex]T^\circ = -12^\circ[/tex]
Hence, the temperature in Tucson is [tex]-12^\circ[/tex]