
Victoria V. answered 06/26/19
Math Teacher: 20 Yrs Teaching/Tutoring CALC 1, PRECALC, ALG 2, TRIG
Let C = temperature in CA
Let B = temperature in Boise
Let S = temperature in San Diego.
Now, we need to put the English words into math sentences. "IS" means "="
California is 5 degrees warmer than twice the temperature in Boise, Idaho.
This becomes C = 5 + 2B
The temperature in San Diego is 61 degrees.
This becomes S = 61. But San Diego IS in CALIFORNIA, so this really represents C = 61
Now we can put C=61 into our first equation and get
61 = 5 + 2B
Subtract 5 from both sides.
56 = 2B
Divide both sides by 2
28 = B
So the temperature in Boise is 28 degrees.