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Inga [223]
3 years ago
11

Solve for x, y, and z

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

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The purchase price of the stock includes the commission paid to the stockbroker. You have to multiply the cost per stock of the stock to the number of shares purchased by Maureen to get the purchase price. You have to multiply the purchase price with the percentage of commission to get the commission. You add the purchase price and the commission to get the total purchase price of the stock.

200 shares x $12.5 per share = $2,500

$2,500 x 1% commission        = $25

Total purchase price                = $2,525

 

4 0
3 years ago
Prime Factorization of 23 using the ladder diagram<br><br> HELP ME BY 7:00 PM PLEASE
rosijanka [135]

Answer:

Hope this helps!

23 is a prime number, so therefore the factors of it is just 1 and itself (23)

4 0
2 years ago
A helicopter hovers 500 feet above a small island. The figure shows that the angle of
Tamiku [17]

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

6 0
3 years ago
How many miles will your parents drive in 8 hours if they are traveling 65 mph?​
neonofarm [45]

Answer:

520 miles

Step-by-step explanation:

6 0
3 years ago
A family is staying in a hotel for 2 nights. The hotel costs $91.35 a night. About how much will they pay for the hotel?
statuscvo [17]
All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:

$91.35 * 2 =
= $90.00 * 2 + $1.00 * 2 + $0.35 * 2 =
= $180.00 + $2.00 + $0.70 =
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Answer: They will pay $182.70 for two nights at the hotel.
7 0
3 years ago
Read 2 more answers
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