x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5

Answers

Answer 1

Answer:

(-3, 1, -1)

Step-by-step explanation:

x + y + z = -3  --> (1) 3y - z = 4   --> (2)2x - y - 2z = -5 --> (3)

Add up (1) and (2)

x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

Double (2) and subtract from (3)

2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)

Double (4) and subtract (5)

2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

Finding x

x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

Finding z

-3 + 1 + z = -3 ⇒ z = -1

So the answer is:

(-3, 1, -1)


Related Questions

find the value of x and the measure of MNW

Answers

Answer:

VALUE OF X:

3x-13+61 = 90

3x+48 = 90

3x = 42

x = 14

MEASURE OF <MNQ:

3x-13

= 3(14)-13

= 42-13

= 29

20 POINTS

NEED HELP ASAP

If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)

A. x-3
B. x-1
C. 5x-1
D. 5x-3

Answers

g(x)=2x+1
f(2x+1)=3(2x+1)-2
6x+3-2=6x-1
Sorry this was the answer that I had 6x-1
That answer choice is correct?

write 6.085 in word form

Answers

six and eighty-five thousandths

X^2 + 10x = 0
How do I solve for a completed square ?

Answers

Answer:

12x=0

Step-by-step explanation:

x=0 because it is

Answer:

x = 0 x = -10

Step-by-step explanation:

First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.

Secondly, you would factor it out and be with

(x + 0)(x +10)=0

Third, you would set each one equal to 0

x + 10 = 0 x + 0 = 0

Solve from there to get your two x's

x = 0 and x = -10

The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.

A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.

Which expression is shown by the model?

Answers

Answer :

D - 28 + 14 = 7(4+2)

Write 32 +24 as a product of two factors using the gcf and the distributive property

Answers

Answer:

4 * 14

Step-by-step explanation:

Given

32 + 24

Required

Write as a product of two factors

First, we need to get the GCF of 32 and 24

The factors of 32 and 24 are:

[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]

[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]

The GCF (greatest common factor) is 8

So, the expression 32 + 24 can be rewritten as:

[tex]32 + 24= 4(8 + 6)[/tex]

Add 8 + 6

[tex]32 + 24= 4(14)[/tex]

[tex]32 + 24= 4 * 14[/tex]

Hence,

32 + 24 can be rewritten as 4 * 14

Answer:

it is 8 (4+3) !!!! I just did the question! :)

Step-by-step explanation:

Solve using standard algorithm 12.2 * 4.

Answers

Answer and Step-by-step explanation:

12.2

*   4

____

48.8

4 times 2 is 8.

4 times 2 is 8.

4 times 1 is 4.

Remember to place the decimal.

#teamtrees #WAP (Water And Plant)

Answer:

48.8

Step-by-step explanation:

What is 7.504-2.3792 rounded to the hundred

Answers

Answer:

0

Step-by-step explanation:

First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.

Since zero is less than five we would round down

so our answer is zero

Hope this helps

Hope u get it right

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answers

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

x-4y= -36 in slope form

Answers

y= 1/4x + 9 because you add the 4y to the right side and add 36 to the left side then divide everything by 4 you get x/4 + 36/4 = 4y/4

a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?​

Answers

Answer:

133 windows

Step-by-step explanation:

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Answers

Answer:

C ≈ 18.85yd

Step-by-step explanation:

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2 + 9. a. Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Answers

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by [tex]K(x) = \dfrac{5x}{x^2+9}[/tex].

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

[tex]K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3[/tex]

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

What is the sum of two consecutive numbers is 141

Answers

Two consecutive numbers can be written as:
x , x+1

So their sum being 141
x + x +1 = 141

Combine and solve for c

2x = 140
x = 70

So two numbers are:

70,71

The two consecutive integers such that their sum is 141 will be 70 and 71.

What is a number system?

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

For more about the number system,

https://brainly.com/question/22046046

#SPJ5

Help please as soon as possible :)))

Answers

Answer:

24m 10+3+3+2+6

Step-by-step explanation:

Answer:

i believe its 24m surface area

Step-by-step explanation:

sorry if wrong

What proportion results in the equation 9m=10n?

Answers

Answer:

the 2 nd one 9/m=10/n

Step-by-step explanation:

in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population

Answers

Answer:

42 sea otters per mi2

Step-by-step explanation:

Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?

Step-by-step explanation pls! :)

Answers

Answer:

$2575.5625

Step-by-step explanation:

2500*(1.015)^2

=$2575.5625

PLS GIVE BRAINLIEST

1st Year 2500*1.015=2537.5

2nd Year 2537.5*1.015=2575.5625

Select a symbol to compare the numbers.
7/10
0.07

Answers

Answer:

7/10>0.07

Step-by-step explanation:

You can turn 7/10 into decimal and its 0.7.

0.7 is greater than 0.07 so you would put a > sign

so the answer is 7/10>0.07

pls mark brainliest

Factorise fully 2x+8

Answers

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

2logx+3logy=0 find y in term of x

Answers

Answer:

y = x^(-2/3)

Step-by-step explanation:

Given

2log x + 3log y = 0

Finding y in terms of x

3log y = -2log xlog y = -2/3log xlog y = log x^(-2/3)y = x^(-2/3)

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2log_x+3log_y=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3log_y=-2log_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac{2}{3}}x [/tex]

7x – X – 1=4-7x + 21

Answers

Answer:

X=2

Step-by-step explanation:

Hurry i need help!!!!!

Answers

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?

Answers

Answer:

210m

Step-by-step explanation:

60+60+45+45

120+90

210m

Two less than three-fourths of a number is, at most, negative seventeen. what is the range of values for the number?

Answers

Answer:

[tex]x\leq -20[/tex]

values ranging from minus infinity to negative 20

Step-by-step explanation:

we write the inequality associated with the text in terms of the unknown number "x" as:

[tex]\frac{3}{4} x-2\leq -17[/tex]

then, we solve for "x" by adding 2 to both sides, and then isolating "x" on the left as shown below:

[tex]\frac{3}{4} x-2\leq -17\\\frac{3}{4} x\leq -17+2\\\frac{3}{4} x\leq -15\\3\,x\leq -60\\x\leq -\frac{60}{3} \\x\leq -20[/tex]

then, the range of x-values is from minus infinity to negative 20

Please help I’ll mark brainliest if u give a small explanation!!!

Answers

Answer:

ut is a if you add 5 plus 4 it makes 9 do not add the 8

PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.

a) What percent of the pets at the
show are cats?

Answers

Answer:

33.33%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show

A restaurant offers $12 dinner specials that has 6 choices for an appetizer, 10 choices for an entree, and 3 choices for dessert. How many different meals

Answers

Answer:

19

Step-by-step explanation:

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?

Answers

Answer:

yes

Step-by-step explanation:

you find the area by multiplying 38 X 112= 4,256

4,400 - 4,256= 144 left over

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