Solve the system of equations for x, y, and z. Please explain/step-by-step so I can understand. Thanks!

x + y = -7
y + z = -7
x - z = 0

Answers

Answer 1

Answer:

Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

2x + y + z + 2x - y - z = 3 + 9

4x = 12

x = 3

So, x must equal 3.

Now, if we put 3 into each equation, we have the following equations:

6 + y + z = 3

6 - y - z = 9

3 + y - z = 0

Now, we can move all the numbers to the right side:

y + z = -3

-y - z = 3

y - z = -3

Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.

(-y - z) + (y - z) = (3) + (-3)

-y -z + y - z = 0

-2z = 0

z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)

So, now we have x = 3 & z = 0.

Now, pick any of the original equations and plug these values of x & z in, and you will get y.

2x + y + z = 3

2(3) + y + 0 = 3

6 + y + 0 = 3

6 + y = 3

y = -3

So, now we have x = 3, y = -3, & z = 0.

These are the only x, y, and z values that work for all 3 equations


Related Questions

Which of the following edges is parallel to AB?

DT
BC
QR
BR

Answers

Answer:

QR

Step-by-step explanation:

Other than all opposite pairs of sides are parallel, all other segments intersect at a point.

Answer:

QR

Step-by-step explanation:

QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.

1) obeserve os numeros e diga:

-15, +6, -1, 0, +54, +12, -93, -8, +23, -72, +72

a) quais os numeros inteiros negativos?
b)quais os numeros inteiros postivos?​

Answers

Numeros inteiros negativos
-1,-8,-15,-72,-93
Números inteiros positivos
0,+6,+12,+23,+54,+72

Dame un corazón porfa

Which function is best represented by this graph?

Answers

Answer:

J

Step-by-step explanation:

The y-intercept is 3, and the slope is -1/2

Answer: G

the formula is y= mx+c

y -intercept (c) is what number it passes on the y-axis which is 3

to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2

Michael buys some items at a grocery store.
4 boxes of cereal at $3.45 per box
1
-1 pounds of oranges at $3.98 per pound
2 gallons of fruit juice at $4.35 per gallon

Answers

What’s the question? How much he paid? 26.48

s=2πcx+3πc^2 solve for x

Answers

Answer:

x = (s - 3πc^2) / 2πc.

Step-by-step explanation:

s = 2πcx + 3πc^2

2πcx  = s - 3πc^2

x = (s - 3πc^2) / 2πc.

Juan's mother gave him a recipe for trail mix.

3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts

Order the ingredients used in the recipe from least to greatest.

Answers

Answer:

Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2

Step-by-step explanation:

This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)

what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest

Answers

Answer:

503

------

3586

Step-by-step explanation:

that's as small as I can get it

Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100

Answers

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?

Answers

Answer: The width is 5

Step-by-step explanation:

The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5

8x- 2 =54
helppp ? ??

Answers

x=7
hope this helps!!
8x-2=54
54+2=56
56/8= 7

X=7

PLEASE HELP!!!
The expression 4(1.20)t represents the population of rabbits each year. If x% represents the growth rate for the population of the rabbits each year, what is the value of x?

Answers

The growth rate for the population of the rabbits each year is 20%

What is an exponential equation?

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Exponential exponential is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:

b = 1.20

growth rate = 1.20 - 1 = 0.20

growth rate = 20%

The growth rate is 20%

Find out more on exponential equation at: https://brainly.com/question/2456547

#SPJ1

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

yes, because a random sample is taken from all of the student body

yes, because the survey will include all of the seniors

no, because the survey will include freshman

no, because the survey will not include members of the faculty

Answers

No because the survey will not include Keebler’s of faculty

Answer:

no, because the survey will not include members of the faculty

I need help please (brainllest)

Answers

Answer:

Plant A: y=x+4

Plant B: y=1/3x+6

Answer:

Plant A: 1x + 4 = y; Plant B: 1/3x + 6 = y

Step-by-step explanation:

Rosa deposits $5000 in a savings account that gets compounded interest annually at a rate of 8%. If she leaves her money in the account for 2 years, how much will she have at the end of that time?

Answers

Answer:

$5318

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 2650 × 0.04 × 3 = 318

I = $ 318.00

The simple interest accumulated

on a principal of $ 2,650.00

at a rate of 4% per year

for 3 years is $ 318.00.

Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]

Answers

Answer:

a. (x+19)(x+1)

b. (z-1)(z-1)

c. 3(2x-3)

Step-by-step explanation:

a. x^2+20x+19

(x+19)(x+1)

b. z^2-2z+1

(z-1)(z-1)

c. 9(x-1)-3x

9x-9-3x

6x-9

3(2x-3)

Chase needs 3 quarts of pineapple juice for the punch he is making. How many pints does he need to buy?

Answers

Answer:

6 pints

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D

Answers

Answer:

The coordinates of D are (2,-2)

Step-by-step explanation:

The coordinates of point D are (2,-2)

The coordinates of the parallelogram are given as:

E(-1,4),  F(5,6) and G (8,0)

For the coordinates to represent a parallelogram, the following must be true

[tex]x_D - x_E = x_G - x_F[/tex]

[tex]y_D - y_E = y_G - y_F[/tex]

So, the equations become

[tex]x_D -(-1) =8-5[/tex] and

[tex]y_D -4 =0-6[/tex]

Solve for x and y in the above equations

[tex]x_D -(-1) =8-5[/tex]

[tex]x_D +1 = 3[/tex]

[tex]x_D = 3-1[/tex]

[tex]x_D = 2[/tex]

[tex]y_D -4 =0-6[/tex]

[tex]y_D - 4 = -6[/tex]

[tex]y_D = 4-6[/tex]

[tex]y_D =-2[/tex]

Hence, the coordinates of point D are (2,-2)

Read more about parallelograms at:

https://brainly.com/question/11874218

please help 15 points

Answers

Answer:

1. Given

2. Corresponding Angles Theorem

3. ∠NPO ≅ ∠MQN (or something similar)

4. AA Similarity Theorem

Step-by-step explanation:

1. Line MQ || Line OP is the given statement.

2. ∠QNM on the left triangle corresponds to ∠PNO on the second triangle.

3. These two angles are cut by a transversal (Line MP), and thus are congruent.

4. ∠MQN and ∠NMQ are congruent to ∠NOP and ∠NPO respectively, so the triangles are similar.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
I really need the answer QUICK please​

Answers

Answer:

Answer is D

Step-by-step explanation:

(3,-7) and (1,-10) belong toD Variant

The required function is [tex]y=-\frac{3}{4}(x-3)^2-7[/tex] , so the correct option is D.

Important information:

Vertex = (3,-7)Other point = (1,-10)Quadratic function:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]

Where, [tex]a[/tex] is constant and [tex](h,k)[/tex] is vertex.

Substitute [tex]h=3,k=-7[/tex].

[tex]y=a(x-3)^2-7[/tex]        ...(i)

Graph passes through the point (1, -10). Substitute [tex]x=1,y=-10[/tex] in (i).

[tex]-10=a(1-3)^2-7[/tex]

[tex]-10+7=4a[/tex]

[tex]-3=4a[/tex]

[tex]\dfrac{-3}{4}=a[/tex]

Substitute [tex]a=-\dfrac{3}{4}[/tex] in (i).

[tex]y=-\frac{3}{4}(x-3)^2-7[/tex]

Therefore, the correct option is D.

Find out more about 'Quadratic function' here:

https://brainly.com/question/15280010

Helpp mee (10 points)

Answers

Number 2 is 15cm^3 don’t know the other ones

(14 plus 42)divided by 7plus4 to the 2power

Answers

Answer:

Given info in numersical form:

(14+42)÷(7+4)²

= 56÷11²

= 56÷(11×11)

= 56÷121

= 0.46

On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?




a 24 square feet
b 28 square feet
c 32 square feet
d 36 square feet

Answers

Answer; B. 36 units
Explanation; the last two numbers multiply then add the first one

Answer:

36 square feet would be your answer

solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]

Answers

Answer:

x=5  x= -7

Step-by-step explanation:

X=5
X=7
Hope that it is right

Plz help !!!!!!!! Already

Answers

Answer:

15 and 105

Step-by-step explanation:

well this should be simple

if a small car averages 29 miles MORE, and it averages 44, the. just take 44 - 29.. which is 15.

Well if he has to go 240 miles, and he’s drove 135, just take 240 - 135 = y

240 - 135 = 105

y = 105

plzzz help me im trustin yall

Answers

Answer:

B

Step-by-step explanation:

(8x + 8)(x + 3) = [tex]8x^{2} +24x+8x+24[/tex] = [tex]8x^{2} +32x+24[/tex].

(8x+8)(x+3). 8x*X+8x*3+8*x+8*3. 8x^+24x+8x+24. 8x^+32+24. Answer is B

HELP PLEASEE!!
Could I have the answers or step by step because I am stuck please tell me!! :)

Answers

Answer:

1)

[tex] \frac{19}{12} \: or \: 1\frac{7}{12} [/tex]

2)

[tex] \frac{5}{21} [/tex]

Must show work!
Write each percent as a fraction and as a decimal?
37%

Answers

Answer:

37% = 0.37 = 37/100

Step-by-step explanation:

hope this helps :)

what is 5/18 divided by 2/6

Answers

Answer:

0.02314814814 ooooorrrrr...... as a fraction..... 5/6

Step-by-step explanation:

I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!

Answer:

5/6 ( I think )

Step-by-step explanation:

Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!

Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!

If I'm wrong just use the info I gave you, and try it yourself!

I hope this helps, and have a great day!

P.S. Way 2 is easier than Way 1!

Factor this polynomial.
-3x² - 6x-2

Answers

Answer:

Doesn't factor

Step-by-step explanation:

We have a polynomial and are asked to factor it.

A rule I like to follow when factoring polynomials is what two numbers multiply to equal c (in this case -2) and add up to b (in this case -6x).

Since no two numbers are eligible to do this, therefore this polynomial is unfactorable.

Answer: -7 x2 -3x2

Step-by-step explanation:

x-4(3-2x) =3(3x+4) is this many soultions no solutions

Answers

No solutions. It would be: 9x-12=9x+12. The difference is that one of the 12’s is negative and one is positive. Hope this helps! Have a great day :)
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