Please help!!!!!!!!!!!!!

Solve the system by elimination. − 2 x + 2 y + 3 z = 0 − 2 x − y + z = − 3 2 x + 3 y + 3 z = 5

taurus [48]

Answer:

$x=1, y=1, z=0$

Step-by-step explanation:

we have

$-2x+2y+3z=0$ ----> equation A

$-2x-y+z=-3$ -----> equation B

$2x+3y+3z=5$ ----> equation C

adds equation A and equation C

$-2x+2y+3z=0\\2x+3y+3z=5\\-------\\2y+3y+3z+3z=0+5$

$5y+6z=5$ -----> equation D

adds equation B and equation C

$-2x-y+z=-3\\2x+3y+3z=5\\--------\\-y+3y+z+3z=-3+5$

$2y+4z=2$ -----> equation E

we have the system

$5y+6z=5$ -----> equation D

$2y+4z=2$ -----> equation E

Multiply equation E by -1.5 both sides

$-1.5(2y+4z)=-1.5(2)$

$-3y-6z=-3$ -----> equation F

adds equation D and equation F

$5y+6z=5\\-3y-6z=-3\\---------\\5y-3y=5-3\\2y=2\\y=1$

Find the value of z

substitute the value of y in equation E (or substitute in equation D)

$2(1)+4z=2$

$2+4z=2$

$4z=0$

$z=0$

Find the value of x

substitute the value of y and z in equation A (or equation B or C)

$-2x+2(1)+3(0)=0$

$-2x+2=0$

$-2x=-2$

$x=1$

therefore

The solution of the system of equations is

$x=1, y=1, z=0$

4 0

4 years ago

The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which

Orlov [11]

Answer:

2 mph

Step-by-step explanation:

time = distance / speed

Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the upstream time is ...

... 12/(4c) = 3/c.

Likewise, the downstream rate is (5c +c) = 6c, and the downstream time is ...

... 12/(6c) = 2/c.

The total time is the sum of upstream and downstream times:

... 3/c +2/c = 2.5

... 5/c = 2.5 . . . . . . combine terms

... 5/2.5 = c = 2 . . . multiply by c/2.5

6 0

3 years ago

Help!! ASAP!! THANKS AND NO FILES!! It's also on Khan academy!!

Natalka [10]

Answer: 44

Step-by-step explanation:

Sum of all angles is 180 so it is 103+33+x = 180.

so, it is 136+x = 180

x = 180-136 => 44

3 0

3 years ago

Find the unpaid balance on the debt. (Round your answer to the nearest cent.)

Umnica [9.8K]

Answer:

unpaid balance is $156439.86

Step-by-step explanation:

present value= $190000

rate = 3% monthly = 3/12 = 0.25 % = 0.0025

time = 25 year = 25 × 12 300

to find out

the unpaid balance

solution

first we calculate monthly payment

payment = principal ( 1- (1+r)^(-t) /r )

and we put all value here

190000 = principal ( 1- (1+0.0025)^(-300) / 0.0025 )

principal = 190000 / ( 1- (1+0.0025)^(-300) / 0.0025 )

principal = 901

so after 6 year unpaid is

present value = principal ( 1- (1+r)^(-t) /r )

put here principal 901 and rate 0.0025 and time 300 - (year )

time = 300 - (6*12) = 300 - 96 = 228

payment = 901 ( 1- (1+0.0025)^(-228) / 0.0025 )

payment = 901 ( 713.63)

so unpaid balance is $156439.86

7 0

3 years ago

Step by step solution help me pls

Ilia_Sergeevich [38]

Step-by-step explanation:

Recall that

$1 + \tan^2 x = \sec^2 x$

and

$\dfrac{d}{dx}(\tan x) = \sec^2 x$

so that

$\displaystyle \int \tan^2 x = \int (\sec^2 x - 1)dx$

$\:\:\:\:\:\:\:\:\:=\int \sec^2 xdx - \int dx$

$\:\:\:\:\:\:\:\:\:=\tan x - x + C$

where C is the constant of integration.

6 0

3 years ago