Find the solution set (x, y,z) of the system:
3x-2y+4z=6
2y-3z=20
6z=12

The solution is x = 8, y = 13 and z = 2.

Step-by-step explanation:

We are given a system of equations with the variables x, y, and z from which we have to solve for x, y, and z.

The equations are

3x - 2y + 4z = 6 (1)

2y - 3z = 20 (2)

6z = 12 (3)

Now, from equation (3),  we get z = 2.

Now, putting z = 2 in equation (2) we get

2y = 20 + 6 = 26  

⇒ y = 13

Now, from equation (1), putting y = 13 and z = 2, we get  

3x = 6 - (4 × 2) + (2 × 13) = 24

⇒ x = 8

So the solution is x = 8, y = 13 and z = 2. (Answer)

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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