Help Pleaseee ASAP!!!!!!
Solve this linear system:
3x + 4y − z = −6
5x + 8y + 2z = 2
−x + y + z = 0
Answers
Answer:
Part 1
|A| = -23
|Ax| = -46
|Ay| = 46
|Az| = -92
Part 2
X = 2
Y = -2
Z = 4
Step-by-step explanation:
The values of x, y and z from the given system of equations are 2, -2 and 4 respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are
3x+4y-z =-6 ---------------(i)
5x+8y+2z=2 ----------(ii)
-x+y+z=0 ---------------(iii)
From equation (iii), z=x-y
Substitute z=x-y in equation (i), we get
3x+4y-(x-y)=-6
3x+4y-x+y=-6
2x+5y=-6 -----------(iv)
Substitute z=x-y in equation (ii), we get
5x+8y+2(x-y)=2
5x+8y+2x-2y=2
7x+6y=2 -----------(v)
From equation (iv) and (v), we have
7(2x+5y=-6)
-2(7x+6y=2)
14x+35y=-42
-14x-12y=-4
__________
23y=-46
y=-2
Substitute y=-2 in equation (v), we get
7x+6(-2)=2
7x=14
x=2
Substitute x=2 and y=-2 in equation (iii), we get
-2-2+z=0
z=4
Hence, the values of x, y and z are 2, -2 and 4 respectively.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ2
Related Questions
The question is in the photo.
Answers
Answer:
the first option
Step-by-step explanation:
Answer: x < 4
Step-by-step explanation: To plot an inequality, find the number and go the way the sign is pointing.
In this problem...
The less than sign is pointing left, and the number is 4. We use an open circle because the sign is not equal to. If it was, we would of put a closed circle.
<, or > = Open circle (Not shaded)
≤, or ≥ = Closed circle (Shaded)
I attached a image to proof the answer is correct.
Let me know if you have any questions.
~ Lily, from Brainly.
ILL MARK U BRAINLIEST!
Answers
Answer:
They are the same
Step-by-step explanation:
Please Help ASAP
Which value of x is a solution to this equation?
2x^2 - 4x + 16 = 0
A. X = 3
B. X = -2
C. X = -3
D. X = 2
Answers
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The discriminant is ...
b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112
A negative discriminant means there are no real solutions to the equation.
_____
The complex solutions are 1±i√7.
If we assume the equation has a typographical error and is intended to be ...
2x^2 -4x -16 = 0
The solutions are x = -2 and x = 4.
am i right? i just want to make sure
Answers
Answer:
yes
Step-by-step explanation:
can i have brainliest
7 + 6ab - ab - 4
Answer
Answers
Answer:
You can't solve for ab, but you can simplify:
3 + 5ab
Step-by-step explanation:
7 + 6ab - ab - 4
7 + 5ab - 4
3 + 5ab
Answer:
8ab
Step-by-step explanation:
7-4+6ab-ab
3+5ab
8ab
round to the nearest tenth 23.459
Answers
23.459
/\
|
This is the tenths spot
23.5 since 5 rounds up the 4
---
hope it helps
The decibel level of sound in a quiet office is 10−6watts/m2.
(a) What is the corresponding sound intensity in decibels?
(b) How much more intense is this sound than the least audible sound a human can hear?
Answers
Which line is parallel to line r?
Answers
send a picture pls so I can help you
a tire rim has a diameter of 15 in what is the circumference of the tire rim use 3.14 answers 23.55, 46.10, 47.1, 94.2
Answers
Answer:
1. 70.84
2. 144.75
3. 147.89
4.295.89
elaborar un cilindro de altura 6cm , perímetro de la base 15cm ¿cuánto mide el radio de la circunferencia que trazaron?
Answers
8•10^3x=1 round to the nearest hundredth
Answers
Answer:
0
Step-by-step explanation:
According to PEMDAS: parenthesis, exponents, multiplication, division, addition, subtraction
Do we have parenthesis? NO
Do we have exponents? YES 10^3=10x10x10=1,000
Are new expression is 8x1,000x
Do we have multiplication? Yes 8x1,000=8,000
Are new expression is 8,000x
Please help as much as possible
Answers
Answer:
(In order 1-17)
C,A,D,A,A,D,C,I,C,D,C,I,A,I,I,C,A
Step-by-step explanation:
A=Associative
D=Distributive
I= Identity
C=Commutative
There are
questions on the Aspire English test.
A. 20
B. 65
C. 35
D. 50cc
Answers
Answer:
Answer is 50cc Number D
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3.4.2
At time t=0 seconds, a clock pendulum makes its maximum angle with the vertical, reaching a positive angle of 6 degrees in one minute, the pendulum swings back and fourth 20 times. Which of the following best expresses the angle the pendulum makes with the vertical in degrees as a function of time in seconds?
Answers
Answer:
B. θ(t)= 6 cos (2π/3 t)
Step-by-step explanation:
Answer:
B) theta(t)= 6cos (2pi/3 t)
I’m not sure how to explain how I got the answer, but I did get it wrong and B was marked right. I hope this helps!
Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?
Answers
Answer:
nice
Step-by-step explanation:
Can someone please solve this, i need it quickly
Answers
Answer:
3x + y = 20 and x - 2y = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(a)
Given
3x + y = 17 ( subtract 3x from both sides )
y = - 3x + 17 ← in slope- intercept form
with slope m = - 3
Para;;el lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (4, 8) into the partial equation
8 = - 12 + c ⇒ c = 8 + 12 = 20
y = - 3x + 20 ← in slope- intercept form
Add 3x to both sides
3x + y = 20 ← in standard form
--------------------------------------------------------
(b)
Given
y + 2x = 13 ( subtract 2x from both sides )
y = - 2x + 13 ← in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 3) into the partial equation
3 = 1 + c ⇒ c = 3 - 1 = 2
y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form
Multiply through by 2 to clear the fraction
2y = x + 4
x - 2y = - 4 ← in standard form
A cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Answers
Answer:
1005.3 ft³
Step-by-step explanation:
cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Given that:
Base diameter = 8feets
Radius, r = 8/2 = 4 feets
Height h, = 20 feets
Volume of cylinder, V = πr²h
V = π * 4² * 20
V = π * 16 * 20
V = 1005.3096
V = 1005.3096 ft³
Determine the quadrant in which the terminal side of theta lies.
Answers
Answer:
A) 2nd quadrant
B) 2th quadrant
Step-by-step explanation:
hope this helps have a nice day!!
Jada has read 3/5 of a book. she has read 75 so far. how many pages are in the whole book?
Answers
Answer: Total number of pages is 125
Step-by-step explanation:
If 3/5 of a book is equal to 75, we can conquer that 1/5 of the book is 25 pages, because 75/3=25.
With this we can do 25 x 5 = 125 total pages.
Need help with intreset
Isabella made $154 in interest by placing $700 in a savings account with simple interest for 2 years. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
11%/ 0.11
Step-by-step explanation:
I=prt
154=700*x*2
154=1400x
divide 1400 by both sides
=0.11
or 11%
Factor. x^2-2x-3 please
Answers
Answer:
(x+1)(x-3)
Step-by-step explanation:
i hope this helps :)
-9 + 4a = 3 – 2a
Solve equation
Answers
Answer:
a = 2
Step-by-step explanation:
The value of w varies jointly with x and y, and w = 5 when x = 3/4 and y =2. What is the value of w when x = 4 and y = 3?
Answers
Answer:
A ∝ BCD or A = kBCD (k = constant ), then A varies jointly as B, C and D.
Step-by-step explanation:
The value of 'w' when x = 4 and y = 3 is, 40.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, The value of w varies jointly with x and y.
Let, w ∝ xy ⇒ w = kxy.
5 = k×(3/4)×2.
5 = (3/2)k.
k = 10/3.
Now, x = 4 and y = 3.
Therefore,
w = (10/3)×4×3.
w = 40.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ3
Work out the surface area of this solid prism.
8m
<5m
3m
4m
Answers
The area of a closet floor is 12 square feet. Mario will be placing 1/3-square-foot carpet tiles on the entire floor. How many carpet tiles will Mario use?
Answers
(If you need to explain: I divided 12 by 1/3 and got 36, so Mario will use 36 tiles
plz help me!!!!!!! its hard
Answers
For no. 1
Diameter (d) = 12 ft
Radius (r) = 12 /2 =6 ft
Area of the circle
= πr²
= 3.14 *6²
= 113.04 ft²
For no. 2
radius (r) = 12 in
Area of the circle
= πr²
= 3.14 * 12²
= 452.16 in²
Hope it helps :)❤
PLEASE HELPP MEEE QUICK
Answers
Answer:
C
Step-by-step explanation:
Please help me
The original blueprint for the Morenos' living room has a scale of 2 inches = feet. The family wants to use a new blueprint that shows the length of the living room to be 15 in he's. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and width of the new blueprint?
Answers
Answer:
length would be 15 inches, width would be 9.36 inches and the scale would these numbers divided by the number of feet on the original scale... not sure if its correct
if 40% is converted to fraction and decimal it would be listed as
A. 1/4. 0.4. 40%
B. 4/10 0.04. 40%
C. 4/10. 0.4. 40%
D. 1/4. 0.04. 40%
Answers
The value of a stock increases by 8% each year.
1. Explain why the stock value does not increase by 80% each decade.
2. Does the value increase by more or less than 80% each decade?
Answers
Answer:
if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.
The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.
If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.
What is Percentage Increase?The degree to which a value increases expressed in percent form is known as percentage increase.
Given that, The value of a stock increases by 8% each year.
a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade
b) Since, (108%)¹⁰ > 80%
Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.
Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade
For more references on percentage increase, click;
https://brainly.com/question/27992848
#SPJ2