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a system of equations and its solution are given below.

system a

x-y=3
-2x+4y= -2
solution: (5,2)

complete the sentences to explain what steps were followed to obtain the system of equations below.

system b
x-y=3
2x=10

to get system b, the ? equation in system a was replaced by the sum of that equation and the ? equation multiplied by ? . the solution to system b ? the same as the solution to system a.

fill in the blank where the question marks are.

Step-by-step explanation:

In system B, the first equation is the same, so clearly the second equation has been replaced. The only other equation in the system is the first, so that is the one that is multiplied by some number.

The number it is multiplied by must make the y coefficient be the opposite of the y-coefficient in the second equation, so they cancel when added. That is, the multiplier times -1 must be -4, so the multiplier must be 4.

The purpose of doing this is to ensure the solution of System B is exactly the same as that of System A.

step-by-step explanation:

kjswgdkxg

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: