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NemiM [27]
3 years ago
15

Solve using the substitution method 8x-2y=-14 5x+y=33 show work

Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0
13x - y = 19
-y = - 13x + 19
y = 13x + 19
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A+5b-c=-20<br> 4a-5b+4c=19<br> -a-5b-5c=2 <br> Solve for a b and c
ludmilkaskok [199]

Answer:a = - 2

b = - 3

c = 3

Step-by-step explanation:

a + 5b - c = - 20 - - - - - - - - - 1

4a - 5b + 4c = 19 - - - - - - - - - 2

-a - 5b - 5c = 2 - - - - - - - - - - - 3

Adding equation 1 and equation 2, it becomes

- 6c = - 18

c = - 18/ - 6 = 3

Multiplying equation 2 by 1 and equation 3 by 4, it becomes

4a - 5b + 4c = 19

-4a - 20b - 20c = 8

Adding both equations, it becomes

- 25b - 16c = 27

- 25b = 27 + 16c = 27 + 16 × 3

- 25b = 75

b = 75/- 25 = - 3

Substituting b = - 3 and c = 3 into equation 1, it becomes

a + 5 × - 3 - 3 = - 20

a - 15 - 3 = - 20

a - 18 = - 20

a = - 20 + 18 = - 2

5 0
3 years ago
Tobin rows 2 miles per hour faster than her opponent. If it takes Tobin 30 minutes to finish a race, and it takes her opponent 4
Sunny_sXe [5.5K]
If we represent Tobin's speed as x, we can write her opponent's speed as 
x-2 (since Tobin is 2 more than them). In addition, since it's in miles per hour, and 45 minutes is 3/4 of an hour, we can say that 3/4ths of her speed in miles per hour is how long the race is, so (3/4)(x-2)=distance of race. In addition, since it only took Tobin 30 minutes, and 30 minutes is half an hour, x/2 (half of her miles per hour) is the length of the race, so (3/4)(x-2)=(1/2)x. Expanding it, we get 3x/4-6/4=x/2. Subtracting x/2 (or 2x/4) from both sides, we get x/4-6/4=0 and by adding 6/4 to both sides we get x/4=6/4. Multiplying 4 to both sides, we get that x=6=Tobin's speed in miles per hour
6 0
3 years ago
If there were 5 million births in a particular country and 3 comma 375 sets of naturally occurring​ triplets, what is the experi
IgorLugansk [536]

Answer:

Probablity =P=6.75*10^-^4

Step-by-step explanation:

The experimental probability can be defined as the ratio of the number of times any particular event has occurred to the total number of times that event has taken place.

Experimental probability = P = No. of event occurrences / total number of occurrences.

In our question statement,

No of naturally occurring triplets are = 3375

Total number of births = 5 million = 5,000,000

Putting values in equation.

P=3375/5000000

P = 0.000675\\P=6.75*10^-^4

4 0
3 years ago
Which number is an irrational number?
anygoal [31]
The square root of eight 
5 0
3 years ago
Read 2 more answers
HELP PLEASE I will give brainlist ​
steposvetlana [31]

Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

4 0
3 years ago
Read 2 more answers
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