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jasenka [17]
3 years ago
13

R + 8 > 21 what is the answer

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

Step-by-step explanation:

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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob

▄░▐░░░▄▄░█░▀▀ ░░

▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.

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Solve the following 3 × 3 system. Enter the coordinates of the solution below.
love history [14]
The system is:

i)    <span>2x – 3y – 2z = 4
ii)    </span><span>x + 3y + 2z = –7
</span>iii)   <span>–4x – 4y – 2z = 10 

the last equation can be simplified, by dividing by -2, 

thus we have:

</span>i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7
iii)   2x +2y +z = -5 


The procedure to solve the system is as follows:

first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:

i)    2x – 3y – 2z = 4   
iii)   2x +2y +z = -5 

2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.

Equalize:  

3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9   

similarly, using i and ii, eliminate x:

i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7

multiply the second equation by 2:


i)    2x – 3y – 2z = 4
ii)    2x + 6y + 4z = –14

thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:

3y+2z+4=-6y-4z-14
9y+6z=-18

So we get 2 equations with variables y and z:

a)   5y+3z=-9 
b)   9y+6z=-18

now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.

Let's use elimination method, multiply the equation a by -2:

a)   -10y-6z=18 
b)   9y+6z=-18
------------------------    add the equations:

-10y+9y-6z+6z=18-18
-y=0
y=0,

thus :
9y+6z=-18 
0+6z=-18
z=-3

Finally to find x, use any of the equations i, ii or iii:

<span>2x – 3y – 2z = 4 
</span>
<span>2x – 3*0 – 2(-3) = 4

2x+6=4

2x=-2

x=-1

Solution: (x, y, z) = (-1, 0, -3 ) 


Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:

check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
3 0
3 years ago
Read 2 more answers
Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enc
natta225 [31]
2(40+55)=2(95)=190
190ft of fencing
4 0
3 years ago
Yallll please help me its my next period and its missing.​
jeka57 [31]

Answer:

<em>#6: -1/5     #7: 2/3</em>

Step-by-step explanation:

#6:

(5,7) and (25,3)

3-7/ 25-5 = -1/5

#7:

( 6,4) and (12,8)

8-4/ 12-6 = 2/3

i hope this helped! :D

5 0
3 years ago
What is the N in the question: 4.5 = N - 2.51
harina [27]
N= 7.01 :D I’m pretty sure that’s the answer :)
3 0
3 years ago
Read 2 more answers
The product of two numbers is 75
Lelechka [254]

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

8 0
3 years ago
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