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LiRa [457]
3 years ago
10

Solve systems of three variable equations - how to do :(​

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

a= 6-2b-3c

then put that equation inside the first one and then the second one

you get -6*(6-2b-3c)+2b-3c=23

and 5*(6-2b-3c)+4b-3c=-12

14b-15c=59

14b-18c=18/*(-1)

--------------------

3b=41

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2x+3y=9<br> 2x+y=7<br> simultaneous equation
Marat540 [252]

Answer:

x=3 and y=1

Step-by-step explanation:

subtract equation 2 from 1

then (2x+3y) -(2x+y) =9-7

2x-2x+3y-y =2

2y=2 therefore y=1

substitute y value in 2x+y=7

2x+1=7

2x=7-1

2x=6

x=3

3 0
3 years ago
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
3 years ago
Cable has 24 pennies he has hafe as many nickels as pennies he has 5 more dimes than nickels he has 6 fewer quarters than dimes
Andreyy89
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6

Therefore...

Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
6 0
3 years ago
01:36:08
Angelina_Jolie [31]

Answer:

check online for more information

7 0
2 years ago
You have the numbers 1-24 written on slips of paper. if you choose one slip at random, what is the probability that you will sel
zysi [14]
First find the numbers that are divisible by 3.
3, 6, 9, 12, 15, 18, 21, 24
There are 8 numbers divisible by 3 so there are 16 that are not divisible by 3.
P(not div by 3) = 16/24 = 2/3
3 0
3 years ago
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