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1 answer:
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-2x - 13 = -3x - 5
Step 1: Combine like terms
x's go with x's (-2x and -3x). To do this add 2x to both sides
(-2x + 2x) - 13 = (-3x + 2x) - 5
(0) - 13 = (-x) - 5
- 13 = -x - 5
normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides
(- 13 + 5) = -x + (- 5 + 5)
-8 = -x + (0)
-8 = -x
Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)
8 = x
x= 8
Hope this helped!
Answer:
Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.
Step-by-step explanation:
Let x represent time spent in running.
We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be .
We know that distance is equal to speed times time.
Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be .
Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be .
We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:
Combine like terms:
Divide both sides by :
Therefore, Eudora spent 0.5 hours in running.
Upon substituting in expression for time spent in flying jet-packs, we will get:
Therefore, Eudora spent 1.5 hours flying using her jet-pack.