Determine the value of z for the system of equations. x + y + z = 2 3x - 2y + 2z = -8 8z - 12y - x = 12

Answers

Answer 1

Answer:

4

Step-by-step explanation:

To get the value of z, we need to reduce the system of equation into two and 2 unknowns;

Add 1 and 3:

y - 12y + z + 8z = 2+12

-11y + 9z = 14 ....... 4

Also Multiply equation 1 by 3 and subtract from 2

Eqn 1 * 2 will give 3x + 3y + 3z = 6

Subtract from eqn 2;

3y-(-2y)+3z-2z = 6-(-8)

5y+z = 14 ....5

Solve 4 and 5

-11y + 9z = 14 * 5

5y+z = 14 * 11

________________

-55y + 45z = 70

55y + 11z = 154

Add both

45z+11z = 70+154

56z = 224

z= 224/56

z = 4

Hence the value of z is 4


Related Questions

solve the quadratic by factoring
4x^2-10=4x-7

Answers

Answer:

x= -1/2 or x=3/2

Step-by-step explanation:

hope this helps

In a basketball game the home team scores (2m + 39) points and the visiting team scores (3m + 40) points. Find the sum to represent the total points scored by the two teams m minutes past halftime.

Answers

Answer:

S = (5m+79)

Step-by-step explanation:

It is given that,

Scores won by home team = (2m + 39) points

Score won by visiting team = (3m + 40) points

We need to find the sum to represent the total points scored by the two teams m minutes past halftime.

It can be calculated by the sum of score by two teams. Let the sum is S.

S = (2m + 39) + (3m + 40)

S = 5m + 79

Hence, sum to represent the total points scored by the two teams m minutes past halftime is (5m+79)

what is the positive value of x in the following expression?
[tex]2x ^{2} - 7x - 4[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

Given

2x² - 7x - 4

To solve for x , equate the expression to zero

2x² - 7x - 4 = 0 ← in standard form

(x - 4)(2x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus the positive value of x is x = 4

Answer:

x=4

Step-by-step explanation:

Hope this helped have an amazing day!  

A truck can be rented from Company A for ​$130 a day plus ​$0.20 per mile. Company B charges ​$50 a day plus ​$0.30 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

800 miles

Step-by-step explanation

Step one

A truck can be rented from

Company A for ​$130 a day plus ​$0.20 per mile

Let the number of miles be x

And the total charges be y

y=130+0.2x—-------1

Company B charges ​$50 a day plus ​$0.30 per mile

y=50+0.3x--------2

Equate 1 and 2

130+0.2x=50+0.3x

130-50=0.3x-02x

80=0.1x

x=80/0.1

x=800 Miles

Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.

Answers

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

Find the x-and y -intercepts.
y=20
The x-intercept is
The y-intercept is

Answers

Answer:

x-intercept is 50        y-intercept is 40

Step-by-step explanation:

solve for x, then solve for y

Evaluate the expression x + 5 when x= 3, y=6 and z=12. A. 11 B. 17 C. 1 D. 8

Answers

Answer:

D, 8

Step-by-step explanation:

x=3

x + 5

(3) + 5

=8

Find the degree of the polynomial.

Answers

Answer:

The degree of the polynomial is x

*BRAINIEST & 20 POINTS*

what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?

Answers

Answer:

The coordinates are (-5,5)

Step-by-step explanation:

We use the internal division formula here

(x,y) = (nx1 + mx2)/m+ n , (ny1 + my2)/(m + n)

where m = 1

n = 4

(x1,y1) = (-8,8)

(x2,y2) = (7,-7)

Substituting these values, we have

(x,y) = (4(-8) + 1(7))/5 , (4(8)+ 1(-7)/5

(x,y) = (-25/5, 25/5)

(x,y) = (-5,5)

Find the solutions of (x - 7)(x + 12) = 0.​

Answers

Answer:

x=7,-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^{2} +12x-7x-84=0[/tex]

[tex]x^{2} +5x-84[/tex]=0T

tIENES QUE REALIZAR ESTA FÓRMULA:

[tex]te lo explico en los comentarios que aqui cuesta escribir\\[/tex] I

Pls help !!! I’ll give brainliest!!

Answers

Answer:

20

Step-by-step explanation:

A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.

Answers

Answer:

a^2+b^2=c^2

c=15 units

Step-by-step explanation:

You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.

If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.

Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)

Answer:

15

Step-by-step explanation:

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

or you can see that this is a 3,4,5 triangle (just 3 times bigger)

hope this helps :)

12. Question: Solve the unfinished equation.
1=4
2=16
3=64
4=???
Explain.

Answers

Answer:

4 = 256.

Step-by-step explanation:

The formula used in each equation is 4x = Y. So, 41 = 4, 42 = 16, 43 = 64, and 44 = 256.

Answer:

[tex]\huge\boxed{\sf 256}[/tex]

Step-by-step explanation:

The equation used for this unfinished equation is:

[tex]\sf 4^{x} = y\\\\Where \ x \ is \ L.H.S \ and \ y \ is \ R.H.S[/tex]

So,

If x = 1, y = 4

[tex]\sf 4^1 = 4[/tex]

If x = 4 , y = 256

[tex]\sf 4^4 = 256[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Find the slope useing points (-3,-2) and (1,4)

Answers

Answer:

1 1/2

Step-by-step explanation:

slope is gotten from the formula (Y2 - Y1)/(X2 - X1)

where Y2 = 4, Y1 = 2, X2 = 1, X1 = -2

hence slope is = (4-(-2)) / (1-(-3))

slope = 6/4

slope = 1 1/2

Answer:

The slope between the points

[tex]m=\frac{3}{2}[/tex]

Step-by-step explanation:

Given the points

(-3,-2)(1,4)

Finding the slope between the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:4\right)[/tex]

[tex]m=\frac{4-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=\frac{3}{2}[/tex]

Thus, the slope between the points

[tex]m=\frac{3}{2}[/tex]

Beth finished a race in 4.59 minutes. Ana finished the race in 0.7 minutes less than Beth. Fran finished the race in 1.05 minutes less than Ana.

How many minutes did it take Fran to finish the race?

Answers

First you would wanna subtract 0.7 from 4.59 so you would get 4.59-0.7= 4.52. then you would wanna do 4.52-1.05= 3.47 for Fran

Answer:

2.84 minutes

Step-by-step explanation:

Subtract the less time of Ana from the intial (Beth) then subtract the amount less of Fran

4.59 - 0.7 = 3.89 minutes

3.89-1.05 = 2.84 minutes

Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra's profit if the shop was closed for 6 hours? $24 $36 $41 $49

Answers

Answer:

the profit in the case when the shop is closed for 6 hours is $41

Step-by-step explanation:

The computation of the profit in the case when the shop is closed for 6 hours is shown below:

= Expression of the situation × number of hours in which the shop is closed

= 45 - 2 ÷ 3 × 6 hours

= $41

hence, the profit in the case when the shop is closed for 6 hours is $41

Therefore the third option is correct

Answer:

c

Step-by-step explanation:

Fill in the blank with the correct point of concurrency
Please answer A,B,C &D Thanks!

Answers

Answer:

a 12

try and use brainly bro it never lies

Answer:

A

Step-by-step explanation:

How far is the train from its destination?
How long does the train travel when it finally reaches its destination? (Hint: when you reach your destination, that equals 0 miles? I need help

Answers

It woukd be pretty far ngl

the graph of y=x^2-8x+6 has a minimum point. write down the coordinates of this point

Answers

Answer:

this formula can't not calculate

Where is the blue dot on the number line

Answers

-5

going backwards-8, -7, -6, to -5

-32 I believe just because

Find the measure∠1 of in the​ figure, shown to the right

Answers

∠1 and 81° are corresponding angles and corresponding angles are equal to each other.

Find the y-intercept of y=6x - 7

Answers

Answer:

(0,-7)

Step-by-step explanation:

have a nice dayyyyyy

BRAINEST IF YOU GET THSI RIGHT

Answers

Solution :

[tex] \sf \dfrac{6x+4}{3} = \dfrac{5x-5}{8}[/tex]

By cross multiply, we get

[tex] \sf : \implies (6x+4) \times 8 = (5x-5) \times 3[/tex]

[tex] \sf : \implies 48x+32 = 15x-15[/tex]

[tex] \sf : \implies 48x+32 - 15x + 15= 0[/tex]

[tex] \sf : \implies 33x + 47 = 0[/tex]

[tex] \sf : \implies 33x = -47[/tex]

[tex] \sf : \implies x = \dfrac{- 47}{33}[/tex]

Therefore, answer is [tex] \sf x = \dfrac{- 47}{33}[/tex]

ANSWER:

x=-47/33

EXPLANATION:

[tex]\frac{6x+4}{3} =\frac{5x-5}{8} \\\\24(\frac{6x+4}{3} =\frac{5x-5}{8})\\\\48x+32=15x-15\\\\48x+32-32=15x-15-32\\\\48x-15x=-47+15x-15x\\\\33x=-47\\\\x=-\frac{47}{33}x[/tex]

A certain map shows two roads. Road A is 1 1/5 miles long but it is 1 4/5 long on the map. What is the unit rate for inches per mile? If road B is 4 miles long, how long is road B on the map?

Answers

Answer: 6 inches

Step-by-step explanation:

Road in inches = 1 ⁴/₅

Road in miles = 1 ¹/₅

Inches per mile = 1 ⁴/₅ / 1 ¹/₅

= 1.5 inches

If the road is 4 miles long, on the map it would be;

= 1.5 * 4

= 6 inches

Plz plz plz plz plz plzzzzzzz

Answers

Answer:

3 7/24

Step-by-step explanation

but is the last fraction 2 1/8?

Answer:

1 1/27

Step-by-step explanation:

1 1/6 + 2 1/8 = 1 1/27

Given the equation, y=2x+5 evaluate when x=2.

5
9
0
7
also no need to rush you can wait to answer as long as you want but i probely only have 1o or 20 mins before parents catch me on a site im not suppose to be on lol

Answers

Plug in 2 for x
Y = 2(2) + 5
Y = 4 + 5
Answer: y = 9

A store paid $80 for shoes, and ends up selling them for $64. What is the
percent change? *

Answers

Answer:

-20%

Step-by-step explanation:

percentage change is calculated by

(new price - old price) / old price

(64 - 80) / 80

please give thanks by hitting heart button! :)

equation
horizontal asymptote
vertical asymptote

Answers

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

Rate positively and give brainlist

Straight leg jeans are 20% off at Kohls this week. How much will you pay for 4 pairs if the regular price is $59.99?

Answers

20% of 59.99 is 11.998 so 11.99. 59.99 - 11.99 = 48. 48x4 is 192
192$

PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
















Item 4
Phyllis and Chen are saving money to go to a football game. Each friend starts with some money and saves a specific amount each week.

Phyllis made a graph to show the total she has saved at the end of each week.





Chen wrote an equation to show the total, y, he has saved at the end of each week, x.

y = 15x + 15



Compare the amount that each friend has when both friends start saving.

Select the correct answer from the drop-down menu to complete the statement.



Phyllis starts with $
Choose... 10,15,25, or 50
and Chen starts with $
Choose... 10,15,25, or 50
.

Answers

Answer:

Chen:15$

Phyllis: 50$

Step-by-step explanation:

Hi!

Here's what we have:

Chen's equation and Phyllis's graph.

Let's start with Chen. His equation is y=15x+15, where y is the total and x is the week. Chen's starting amount will be the amount at the zeroth week. Now, the zeroth week is when x = 0 --> y=15(0) + 15 --> y=15

So, Chen starts off with 15$.

Now, looking at the graph, Phyllis starts off at a number between 60 and 40 (we're looking at the y-intercept because that's when x=0)

The only number between 60 and 40 in the answer choices is 50.

Phyllis starts with 50$.

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