The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. The third number plus 3 times the first number is -1. The first number plus 3 times the second number plus the third number is -16. Find the sum of the three numbers.
Answers
Answer:
-6
Step-by-step explanation:
Let the first, second and third number be x, y and z respectively.
We are told that the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.
Thus;
(x + 3z) - y = 2 - - - (eq 1)
The third number plus 3 times the first number is -1.
Thus;
z + 3x = -1 - - - (eq 2)
The first number plus 3 times the second number plus the third number is -16.
Thus;
x + 3y + z = -16 - - - (eq 3)
From eq 2, we can rearrange to get;
z = -1 - 3x
Putting -1 - 3x for z in eq(1) and (eq 3),we have;
(x + 3(-1 - 3x)) - y = 2
x -3 - 9x - y = 2
-8x - y = 2 + 3
-8x - y = 5
y = -5 - 8x
Putting y = -5 - 8x and z = -1 - 3x into eq(3), we have;
x + 3(-5 - 8x) + (-1 - 3x) = -16
x - 15 - 24x - 1 - 3x = -16
-26x - 16 = -16
-26x = 16 + 16
x = 0
Since y = -5 - 8x, then y = -5 - 8(0)
y = - 5
Also, since z = -1 - 3x, then;
z = -1 - 3(0)
z = -1
The sum of the three numbers are;
x + y + z = 0 + (-5) + (-1) = -6
Related Questions
The base of a right rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume, in cubic centimeters, of the right rectangular prism?
a jeepney ride in the sinakos 9 pesos for the first 4 kilometers and each additional km at 0.75 pesos to the fair use a piecewise function to represent the jeepney fare in terms of the distance in kilometers
At Lincoln elementary school there are 88 students in grade 1 and 116 students in grade 2 grade 3 has 164 students is the number of students in grade 1 and grade 2 greater than the students in grade 3mn
19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =Use PEMDAS for this.Also it's a made up question
Answers
Answer:
60%
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100%
So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6
When that value is multiplied by
100%, it gives us our percentage of 0.6 ⋅ 100% = 60
Answers
Answer:
The flaw is at x=0 where the function is not defined
Step-by-step explanation:
For any function we have
The integral can be evaluated only if the function f(x) is defined in the interval [a,b] in which this integral is evaluated
In our our case function f(x) is not defined at x=0 in the interval [-1,+1] thus this results in the flaw that we have obtained in the reasoning
Answers
x = 1
Replace x with 1, and evaluate the right side.
y = 2 * 1 + 5 = 2 + 5 = 7
Ordered pair: (1, 7)
x = 2
Replace x with 2, and evaluate the right side.
y = 2 * 2 + 5 = 4 + 5 = 9
Ordered pair: (2, 9)
x = 3
Replace x with 3, and evaluate the right side.
y = 2 * 3 + 5 = 6 + 5 = 11
Ordered pair: (3, 11)
x = 4
Replace x with 4, and evaluate the right side.
y = 2 * 4 + 5 = 8 + 5 = 13
Ordered pair: (4, 13)
The 4 ordered pairs are: (1, 7), (2, 9), (3, 11), (4, 13)
y=2+5=7. (1,7)
y=6+5= 11. (3,11)
y=4+5=9. (2,9)
y=8+5=13. (4,13)
0.4
6%
40%
Answers
PLS
Answers
Answer:
ok so the bottom of this shape is 4
the sides are 5 and there is two of them
and then if we count if looks like there is 2 going down and two going up so
4+5*2+2*2
4+10+2*2
4+10+4
14+4
18
Hope This Helps!!!
Answers
Answer:
3 hours
Step-by-step explanation:
285+55+285+55+285+55=1020
or another way
285+55×3= 1020