Solve the following system of equations:
1 answer:
We have that
<span>6x – 3y + 10 = 0 ----->equation 1
2x + y + 9 = 0-------> multiply by 3------> 6x+3y+27=0----> equation 2
</span><span>add equations 1 and 2
</span>
6x – 3y + 10 = 0
6x+3y+27=0
----------------------
12x+37=0---------> 12x=-37-------> x=-37/12
substitute the value of x in the equation 1
6*(-37/12)-3y+10=0-----> -18.5-3y+10=0----> 3y=-8.5----> y=-8.5/3
x=-37/12-----> x=-3.08
y=--2.83
the answer is
x=-3.08
y=-2.83
see the attached figure
<span>6x – 3y + 10 = 0 ----->equation 1
2x + y + 9 = 0-------> multiply by 3------> 6x+3y+27=0----> equation 2
</span><span>add equations 1 and 2
</span>
6x – 3y + 10 = 0
6x+3y+27=0
----------------------
12x+37=0---------> 12x=-37-------> x=-37/12
substitute the value of x in the equation 1
6*(-37/12)-3y+10=0-----> -18.5-3y+10=0----> 3y=-8.5----> y=-8.5/3
x=-37/12-----> x=-3.08
y=--2.83
the answer is
x=-3.08
y=-2.83
see the attached figure
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enters the irrational number category.
Integers numbers are the numbers without decimals between -infinity and infinity.
Natural numbers are the whole numbers from 1 to infinity.
Whole numbers are natural numbers + 0.
Answer: 0.002718
Step-by-step explanation:
Given : The population mean annual salary for environmental compliance specialists is about $62,000.
i.e.
Sample size : n= 32
Let x be the random variable that represents the annual salary for environmental compliance specialists.
Using formula , the z-value corresponds to x= 59000 will be :
Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than $59,000 :-
Hence, the probability that the mean salary of the sample is less than $59,000= 0.002718