Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da

Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
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Solve The System Of Equations. If A System Has One Unique Solution, Write The Solution Set. Otherwise,

Answers

Answer 1

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31-3y + 7z = 592z = 10

System of Equation

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

[tex]2z = 10\\z = 5[/tex]

let us substitute the value of z into equation (ii)

[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]

Let's substitute the value of x and y into equation (i)

[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

https://brainly.com/question/14323743


Related Questions

what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4​

Answers

Answer: B

Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375

Answer:

b.

Step-by-step explanation:

first, you would you would find a common denominator between 3/8 and you will get 6/16. last, you would add 1/16 + 6/16 for your answer of 7/16

What is the classification of the pair of angles shown?

F. complementary
G. supplementary
H. vertical
I. no relationship

Answers

Answer:

Vertical

Step-by-step explanation:

Since both the angles are located directly opposite of each other, this is a vertical angle pair.

A video has 25 thumbs up. What integer represents its score in points?

Answers

Answer:

25 points

Hope this helps!

Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?


The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.


The measure of an exterior angle is equal to the measure of an adjacent interior angle.


The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.


The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.

Answers

Answer:

A

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.

Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.

Answer: A

Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box

Answers

Given :Weight of each box = 4 3/4 pounds = 4.75 pounds

To Find :Weight of 9 boxes

Solving :Weight of 9 boxes = Weight of each box x 9 [1 x 9 = 9]W = 4.75 x 9 = 36 + 6.75 = 42.75 pounds

Answer :42.75 pounds

Weight of one box=4 3/4lbs=19/4lbsTotal boxes=9

Total weight:-

9(19/4)171/442-3/4lbs

In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.

Answers

Answer:

7.89 births per minute

Step-by-step explanation:

525600 minutes in a year

4,148,000 divided by 525600 =

7.89193302892

18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5

Answers

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

Which of the following is the correct factorization of the polynomial below?

x^3 - 12

A. (x + 3)(x - 4)

B. (x - 3)(x + 4)

C. (x + 3)(x^2 - 4x + 4)

D. The polynomial is irreducible.

Answers

The answer is D. The polynomial is irreducible because 12 can’t be squared.

Find the value of y.

Answers

As

<IJK and <IKJ are equal measured

The triangle is isoceles

The adjacent sides of both angles are similar

Hence

IJ=IKy=21

Answer:

21

Step-by-step explanation:

as angle J and angle K are equal, sides JI and IK are also equal. So y = 21

i need help fast i will mark brainliest

Answers

Answer:

50.24

Step-by-step explanation:

Area=R^2*PI

OR
Area-R*R*PI

So, Area=4*4*3.41

=50.24

Answer:

1,661.1

Step-by-step explanation:

A= 3.14 x (23 x 23)

3.14 x 529= 1,661.06

1,661.1

From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.

Answers

Answer:

5/6

Step-by-step explanation:

In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6

If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level

Answers

Considering the p-value of the test, the correct option is:

b. will also not be rejected at the 1% level.

How do we reach the decision to reject or not reject the null hypothesis?

It depends on the p-value of the test, as follows:

If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.

In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?

Answers

Answer:

$4.60

Step-by-step explanation:

The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1). y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2 y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2 y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3 y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

Answers

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

It was shifted 3 units to the left, hence x -> x + 3.It was shifted 2 units down, hence y -> y - 2.

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:y = |x + 3| - 2.

Step-by-step explanation:  B on edge

hellllllllllllllp please

Answers

Answer:

The hieght should be 3 cm

Step-by-step explanation:

We can put it into an equation form:

6⋅2⋅x=36

Then solve from there!

Hope this helps!!

Answer:

Yo I was going to answer this question but I assume there is a mistake I think your teacher meant the length of the box is 6cm if not the answer is 6 cm high if so and there's a mistake then the answer is 3 cm high.

Step-by-step explanation:

What is the equation of the following linear funchon?

Answers

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8


PLEASE HELP ME ANSWER THIS !! I HAVE 7 MINUTES TO TURN IT IN HELP PLEASE

Answers

Step-by-step explanation:

You know that the three lines are parallel.

There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.

We can then assume 2x+2-9=x+3

Then, to solve, you can get 2x-7=x+3

X=10

Hope this helped!

I'm a bit confused, but hope this helped again!

Stacy is making a scale model of the Eiffel Tower for French class. Her model is 500 times smaller than the actual tower, which is 300 meters tall. How many millimeters tall is Stacy's model?

Answers

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]

Therefore, Stacy's model is 600 millimeters tall

100 pts what is 2X2+6X5+8

Answers

Answer:

It's 42.

Step-by-step explanation:

Order of operations:

4+6*5+8

4+30+8

34+8

= 42

Therefore, the answer is 42.

Answer:

42

Step-by-step explanation:

Write each expression as a single power of 10.

Answers

Answer:

Refer to below!

Step-by-step explanation (a):

[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]

[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]

Step-by-step explanation (b):

[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow{10^{9} }[/tex]

Step-by-step explanation (c):

[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{2} }[/tex]

Step-by-step explanation (d):

[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]

[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]

[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{5} }[/tex]

Step-by-step explanation (e):

[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]

[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]

[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]

[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow {10^{4}[/tex]

Pls help me with My math I need the ans rn, Tysm.​

Answers

Answer:

35 degrees

30 degrees

BRAINLIEST!!!

Given the figure below, find the values of x and z.

Answers

Step-by-step explanation:

87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20

Answer:

=> z = 87° { vertically opposite angle }

=> 87° + (9x-87) = 180° { linear pair }

=> 87 +9x-87 = 180

=> 9x = 180°

=> x = 180/9

=> x = 20°

Drag each equation to its equivalent fact. DUE TODAY

Answers

Answer:

left left right

Step-by-step explanation:

rearange the formula as normal

What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.

Answers

Answer:

slope = 3/2

Step-by-step explanation:

we rise 3 and run 2 which gives us y=3/2x

A florist used 16 flowers to make a bouquet, including 6 lilies.

What is the probability that a randomly selected flower will be a lily?

Answers

Answer:

3/8

Step-by-step explanation:

Values we are given :

16 flowers in total6 lilies

We know that :

Probability of selecting an object from a group of items = Number of objects / Number of items

Therefore,

Probability of selecting a lily = Number of lilies / Number of flowersP = 6/16P = 3/8

Determine the net change between the given values of the variable.
f(x) = 7x − 9; x = 2, x = 3

Answers

Answer:

the net change is 7

if u substitute x with

2 u get 5

3u get 12

4 u get 19

If made $90.00 how much was paid hourly?​

Answers

Answer:

Made in how long of a workshift?

Step-by-step explanation:

The entire graph of the function f is shown in the figure below.

Write the domain and range of f using interval notation.

Answers

Answer:

no idea

is the answer

if you like my answer please like comment and mark me as brilliant

Only 16 tho!!!!!please

Answers

Answer:

(5*2) + (1/2)(2+2+2)*4)

Step-by-step explanation:

Area of Triangle = (1/2)(2 + 2 + 2 )* 4)

Area of Rectangle = 5 * 2

Total Area = (5*2) + (1/2)(2+2+2)*4)

The volume of a sphere is 9,198.11 ft3. To the nearest foot​, what is the radius of the​ sphere? Use 3.14 for π.

Answers

Answer: 1.3 ft

Step-by-step explanation:

Using the formula

V=4

3πr3

Solving forr

r=(3V

4π)⅓=(3·9.2

4·π)⅓≈1.29978
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