When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:
We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns.
Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.
i) consider equations 1 and 3:
-3x-4y-3z=-7
5x-2y+5z=9
multiply the second equation by -2:
-3x-4y-3z=-7
-10x+4y-10z=-18
adding the 2 equations we have -13x-13z=-25
ii) consider equations 2 and 3. Multiply the third equation by -3:
2x-6y+2z=3
-15x+6y-15z=-27
adding the 2 equations we have -13x-13z=-24
So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.
Answer: the system has no solutions
Domain 0≤x≤12 this means the domain (x values) are between x=0 and x=12 and you started measuring the degree of temperature starting at a time of 0 and stopped measuring the temperature at a time of 12 hours
Range -4≤y≤4 this means the range (y values) are between y=-4 and y=4. The range is referring to the degree in celcius based on what time you measured it
Hope this helps!
Answer:way to much
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
height of the hypotenuse:
36 : height = height : x
36 : 48 = 48 : x
x= 48^2/36 = 64
