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Paraphin [41]
3 years ago
11

HELP PLEASE! Solve the system by substitution, please include work

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
For this question you are going to want to isolate a different variable in one of the first two and the third. Then you will plug those values into each other and then the reuslts into the third (I will show later). I will be using the 1st and the 3rd because those are the easiest.
-x-y-z = -8------> add y and z to both sides
-x = y + z - 8 -----> Divide both sides by -1
x = -y - z + 8

2x + 2z = 4 ----> Divide both sides by 2
x + z = 2 -----> Subtract x from both sides
z = -x + 2

x = -y - (-x + 2) + 8 ----> Now reisolate x by first simplying
x = -y + x -2 + 8 -----> Add
x = -y + x + 6 -----> Subtract x from both sides and add y to both sides
y = 6

Plug the values for y and z into the second equation and isolate x.
-4x + 4(6) + 5(-x+2) = 7 ----> Simplify
-4x + 24 -5x +10 = 7 ----> Combine like terms
-9x + 34 = 7 -----> Subtract 34 from both sides
-9x = -27 -----> Divide both sides by -9
x = 3

Plug x into the thirs equation and isolate z
2(3) + 2z = 4 ---> Simplify
6 + 2z = 4 ----> Subtract 6 from both sides
2z = -2 ----> Divide both sizes by 2
z = -1

Final Answers:
x = 3
y = 6
z = -1

Optional - Check your answer by plugging the values above back into the 1st equation.

-x-y-z = -8
-(3)-(6)-(-1) = -8
-3 - 6 + 1 = -8
-8 = -8

Hope this helps!






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Please help solve quick
RoseWind [281]

Answer:

see below

Step-by-step explanation:

3x^2 + 17x +10 =0

(3x+   ) ( x+   ) =0

We need to factor 10  = 2*5  or 1*10

They are positive since we have all positive terms

3*5 = 15+2 = 17

The 5 needs to multiply the 3 so it goes on the outside

(3x+   ) ( x+  5 ) =0

That leaves the 2 on the inside

(3x+ 2  ) ( x+ 5  ) =0

Using the zero product property

3x+2 =0     x+5=0

3x = -2          x=-5

x = -2/3          x = -5

5 0
3 years ago
PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
How do I do this....?
ioda

Answer:

you plot the coordinates you have been given

Step-by-step explanation:

6 0
3 years ago
The sum of 3 numbers is 131. the second of three numbers is seven more than twice the first. the third number is 12 less than th
arsen [322]
A+b+c = 131

b = 7 + 2a and c = a - 12
 so a + 7+2a + a-12 = 131
then 4a -5 = 131
then 4a = 136
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6 0
2 years ago
Reporting Stockholders' Equity
DaniilM [7]

The total stockholders equity based on the information given will be $8285000.

<h3>How to compute the equity?</h3>

The stockholders equity will be calculated thus:

Common stock $4480000

Excess over par = $1152000

Paid in capital = $5632000

Sale of treasury = $224,000

Total paid in capital = $5856000

Retained earnings = $2,554,000

Total = $8,410,000

Less treasury stock = 125,000

Total stockholders equity = $8,410,000 - $125000

= $8285000

Therefore, the total stockholders equity based on the information given will be $8285000.

Learn more about equity on:

brainly.com/question/16337048

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