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vova2212 [387]
3 years ago
12

2x − 3y + 4z = 23 x + 2y − 4z = −10 3x − y + 2z = 19 2 -3 4 1 2 -4 3 -1 2 Correct: Your answer is correct. x y z = 23 −10 19 Fin

d A−1. 0 1/7 2/7 -1 -4/7 6/7 -1/2 -1/2 1/2 Correct: Your answer is correct. Use the result to solve the system. (x, y, z) =
Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer:

(x, y, z) = (4, -1, 3)

Step-by-step explanation:

To solve the system of equations:

2x − 3y + 4z = 23 .........................(1)

x + 2y − 4z = −10 ..........................(2)

3x − y + 2z = 19..............................(3)

Simultaneously, we do that by first eliminating one variable from any two equations to have an equation in two variables. The process is repeated with one of the used equations and the third unused equation to have a second equation in two variables. The two equations in two variables obtained can then be easily solved simultaneously.

Let us eliminate z from (1) and (2)

Add (1) and (2)

(1) + (2):

3x - y = 13 ........................................(4)

Multiply (3) by 2

(3) × 2

6x - 2y + 4z = 38 ............................(5)

Add (5) and (2)

(5) + (2):

7x + 0 + 0 = 28

x = 28/7 = 4

Putting this in (4)

3(4) - y = 13

y = 12 - 13 = -1

Putting this in (3)

3(4) - 4(-1) + z = 19

z = 19 - 16 = 3

Therefore,

(x, y, z) = (4. -1, 3)

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Between the time Iko woke up and lunchtime,the temperature rose by 11.Then by the time he went to bed,the temperature dropped by
dimaraw [331]

Answer:

<u></u>

  • <u>11 + ( - 14)</u>

Explanation:

The complete question is:

<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>

<em />

<em>Write an addition expression for the temperature relative to when iko woke up. </em>

<em />

<h2>Solution</h2>

It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.

Then, relative to when Iko woke up the temperature is:

  • + 11º

Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:

  • +  11º + (- 14º).

If you want the overall change in temperature you do the operation:

  • 11 + (-14) =  11 - 14 = - 3. A net decrease of 3º.

But the answer to this question is the additive expression:

  • 11 + ( - 14) ← answer
4 0
3 years ago
3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer
fenix001 [56]

Answer:

15

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

4 0
3 years ago
A French restaurant used 848,540 ounces of cream last year. This year, due to a menu update, it used 40% less. How much cream di
Vsevolod [243]

Answer:

339416

Step-by-step explanation:

848,540 * 40/100 = 339416

4 0
3 years ago
Over the summer, for every 14 Okra seeds Dana planted, 9 plants grew. If he planted 182 seeds, how many grew into plants?
vova2212 [387]
Simple...

you have: For every 14 seeds that Okra seeds Dana planted 9 of them grew; if he planted 182 seeds..how many grew?

Set up an equation...

\frac{9}{14} = \frac{x}{182}

Cross multiply....

14*x=14x

9*182=1638

14x=1638

\frac{14x}{14} = \frac{1638}{14} =117&#10;

x=117

This means that, for 182 seeds planted, 117 of them grew to be plants.

Thus, your answer.
3 0
3 years ago
Read 2 more answers
A firetruck pulls up next to a burning building that is 25 ft away the ladder operator extends the ladder at a 35 degree angle h
Bogdan [553]
Here u go I drew a diagram to help u visualise

Answer is 30.53 cm

4 0
3 years ago
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