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Romashka-Z-Leto [24]
3 years ago
12

Quick help: Explain how to solve the following system of equations. What is the solution to the system?

Mathematics
2 answers:
romanna [79]3 years ago
7 0
-3x - 4y - 2z = 0
x + 3y + 2z = 1

-2x - y = 1

-4x - 4y - 2z = 10
3x + 4y +2z= 0

-x = 10. x = -10

-2(-10) - y = 1
20 - y = 1
-y = -19
y = 19

-10 + 3(19) + 2z = 1
-10 + 57 + 2z = 1
47 + 2z = 1
2z = -46
z= -23

check: 2(-10)+2(19)-23=-5
-20+38-23=-5
-43+38=-5
-5=-5

lana66690 [7]3 years ago
5 0
Given equations: 
2x+2y+z = -5 -----------(1)
 3x+4y+2z = 0 ----------(2)
 x+3y+2z = 1 ---------(3)
 Subtract equation (3) from equation (2) to eliminate z
 3x+4y+2z =0
 -x-3y-2z=-1
 __________
 2x+y=-1 -------------------(4)
 Multiply equation (1) by 2 and subtract it from equation (3) to eliminate z
 x+3y+2z=1
 -4x-4y-2z=10 ____________
 -3x-y=11 --------(5)
 Add equation (4) and (5) to eliminate y
 2x+y=-1
 -3x-y=11 _______
 -x=10
 X=-10
 Substitute the value of x in equation (4) to find y
 2(-10)+y=-1
 -20+y=-1
 y=-1+20
 y=19
 Substitute the values of x and y in any one of the 3 equations, to find z.
Let’s substitute in equation (1)
 2(-10)+2(19)+z=-5
 -20+38+z=-5
 18+z=-5
 z=-5-18
 z=-23
 Therefore the solution is: x=-10, y=19, z=-23
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Write 18z − 7 (−3 + 2z) in simplest form. Select True or False for each statement.
vfiekz [6]

Answer:

Simplest form = 4<em>z </em>+ 21

Case 1: True, Case II: false and Case III: true

Step-by-step explanation:

18<em>z </em>- 7( -3 + 2z)

= 18<em>z</em> + 21 - 14z

= 18<em>z</em> -14z + 21

= 4<em>z </em>+ 21

So, in the above expression we have two terms. First term is 4z and second term is 21.

So the first case is true. As the expression has two terms.

The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.

The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.

8 0
3 years ago
Help me real quick plz, will give more points and 5 star rate if right answer is given.
yulyashka [42]

Step-by-step explanation:

I think D

But I am not sure

sorry unknowingly I typed option A

6 0
3 years ago
Read 2 more answers
Solve using the quadratic formula. Approximate answers to the nearest tenth.<br> Help
Pepsi [2]

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

6 0
2 years ago
James spent $20.16 on comic books. Each comic book cost $0.72. After he read the comic books, James sold each one for $0.20 less
adell [148]

Answer:

$14.56

Step-by-step explanation:

<u><em>Steps to answering this question </em></u>

  1. Determine the total number of comics bought. This can be done by dividing the total amount spent on comics by the unit price of a comic
  2. Determine the selling price of the comic
  3. multiply the amount of comics bought by the selling price

the total number of comics bought = total amount spent on comics / per unit price of comics

$20.16 / $0.72 = 28

selling price = 0.72 - $0.20 = $0.52

Total amount received = selling price x total comics bought

$0.52 x 28 = $14.56

8 0
3 years ago
Hidemi is a waiter. He waits on a table of 4 whose bill comes to $90.27. If Hidemi receives a 15% tip, approximately how much wi
vlabodo [156]
To solve this you will do 90.27 * .15 which is 13.5405 and if you round that it will be 13.50.
6 0
3 years ago
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