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DaniilM [7]
2 years ago
9

Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s

olutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da
믐
Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
Continue
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Mathematics
1 answer:
Sauron [17]2 years ago
6 0

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

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What is the answer to this?
Trava [24]

Answer:

<h2>C. 97.6 in³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have

2r=4\ in\to r=2\ in\\\\H=8\ in

Substitute:

V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

We have

r=2\ in\\\\H=0.7\ in

Substitute:

V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3

The volume of the plastic object:

V=V_1-V_2

V=32\pi-\dfrac{14\pi}{15}=\dfrac{480\pi}{15}-\dfrac{14\pi}{15}=\dfrac{466\pi}{15}\\\\\pi\approx3.141\\\\V\approx\dfrac{466}{15}\cdot3.141\approx97.6

7 0
3 years ago
What is the value of x. (Please help ASAP)
padilas [110]
<em>line </em>DAC = 180°
180 - 98 = 82°
∠BAC = 82°

A triangle = 180°

180 - 82 - 32 = x

Simplify:

x = 180 - (82 + 32) 
x = 180 - 114
x = 66

66°, or C  is your answer


hope this helps
8 0
3 years ago
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