All categories

1 year ago

What is the solution to the following system? (3x+2y+z = 20 X-4y-Z=-10 2x+y + 2z = 15

Mathematics

1 answer:

babymother [125]1 year ago

4 0

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

x - 4y - z = -10

-------------------------

7x + z = 30

x - 4y - z = -10

8x + 4y + 8z = 60

----------------------------

9x + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

You might be interested in

Angle 0 is in the second quadrant, and sin 0=3/5

Aneli [31]

ANSWER

The value of theta in the second quadrant is,

$143.1 \degree$

EXPLANATION

The given trigonometric equation is
$\sin( \theta) = \frac{3}{5}$

This implies that,

$\theta= arcsin(\frac{3}{5} )$

This implies that the principal solution is
$\theta = 36.9 \degree$
and it is an angle in the first quadrant.

But the solution we are looking for is an angle in the second quadrant.

This is given by
$180 - \theta = 180 - 36.9 = 143.1 \degree$

8 0

3 years ago

Careers differ in many ways other than just income, and these differences can affect your long-term goals or your ability to att

IrinaK [193]

Is this multiple choice?

5 0

2 years ago

Y=-3x + 6

slamgirl [31]

Answer:

(-1, 9) (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

5 0

3 years ago

Instructions: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Morgarella [4.7K]

Answer:

y = 3x - 13................slope= 3, point= (5,2)

y = 3x + 11.................slope= 3, point= (2,17)

3y = x + 11................slope= 1/3, point= (-5,2)

3y = x - 13................slope= 1/3, point= (19,2)

Step-by-step explanation:

To match each equation to its slope and point, remember that an equation in y = mx + b has slope m. The point must also satisfy or make true the equation when substituted for (x,y).

y=3x-13 has slope 3. The point (2,17) make it false. But (5,2) makes it true.

17 = 3(2) - 13 2 = 3(5) - 13

17 = 6-13 2 = 15 - 13

17 = - 7 False 2 = 2 True

y=3x+11 has slope 3. This means (2,17) must be true.

3y=x+11 can be converted to y = 1/3x + 11/3. It has slope 1/3. Test each point.

2= 1/3(19) + 11/3 -2 = 1/3(17) + 11/3 2 = 1/3(-5) + 11/3

2 = 19/3 + 11/3 -2 = 17/3 + 11/3 2 = -5/3 + 11/3

False False 2 = 6/3 True

3y=x-13 can be converted to y = 1/3x - 13/3. It has slope 1/3. Test each remaining point.

2= 1/3(19) - 13/3 -2 = 1/3(17) - 13/3

2 = 19/3 - 13/3 -2 = 17/3 - 13/3

2 = 6/3 -2 = 4/3

True False

7 0

2 years ago

Read 2 more answers

(-3/4)*(-3/5)*(-1)= <br> pls help my teacher is gonna kill me

GaryK [48]

Answer:

-9/20

Step-by-step explanation:

For the first two terms, all you have to do is multiply the numerators and the denominators, and cancel out the negative, but because there is a -1 after that, the negative sign comes back, although the -1 doesn't really change the number.

3 0

2 years ago