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xxTIMURxx [149]
3 years ago
6

2. Solve the following system of equations

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

The answer to your question is x = 2, y = -1, z = 3

Step-by-step explanation:

Data

          x  +  y  +  z =  4

          x  - 2y  -  z =   1

         2x  -  y  - 2z = -1

Solve the system of equations

          |  1   1   1  |

          |   1 -2 - 1 |

Δ =     |  2  -1  -2|    = (4 - 1 -2) - (-2 + 1 -4) = 1 + 5 = 6

          |  1    1   1  |

          |  1  -2  -1 |  

         | 4   1   1 |

         | 1   -2  -1 |

Δx =   |-1   -1   -2|   = (16 - 1 + 1) - (-2 + 4 + 2) = 16 + 4 = 12

         | 4   1    1 |

         |  1  -2  -1 |

         | 1   4   1  |

         | 1    1  -1  |

Δy =  | 2 - 1  -2 | = (-2 -1 -8) - (-8 + 1 + 2) = -11 - 5 = -6

         | 1   4    1 |

         | 1    1    -1|

         | 1   1   4|

         | 1 -2   1|

Δz =  | 2 -1   -1|   = (2 - 4 + 2) - (-1 -1 -16) = 0 + 18

         | 1   1    4|

         | 1  -2   1|

Find x, y and z

x = Δx/ Δ = 12/6 = 2

y = Δy/Δ = -6/6 = -1

z = Δz/Δ = 18/6 = 3

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The equationoflinevis y + 10 = 2 3 ( x – 8 ) . line w , which is parallel to line v , includes the point (6, -5) . what is the e
lbvjy [14]
You know that if 2 lines are parallel, they have the same slope. 

First, find the slope of the given line; 

y+10 = 23(x-8)
y=23x-184-10 
y=23x-194

Slope is 23 

Write out the basic format; 

y=mx+c 
y=23x+c <--- replace x and y values here 
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Therefore, this equation would be y=23x-143

Hope I helped :)
7 0
3 years ago
I don’t know how to do this
MrMuchimi

Answer:

the following points: (6,-1),(2,-4), and (-2,3)

Step-by-step explanation:

imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)

4 0
3 years ago
If x=7 and y=3 what is the value of x+5y<br><br> i need help
aksik [14]

If x=7 and y=3, then

x+5y=7+5(3)

5(3)=15

15+7=22

So x+5y=22

8 0
4 years ago
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What are the terms of 3x-4xy+10y+1
Juli2301 [7.4K]

Answer:

3x,-4xy,10y,\text{ and }1.

Step-by-step explanation:

Single numbers, variables and product of number and variables are know as terms. In an algebraic expression each term is separated by an addition "+" sign.

The given expression is

3x-4xy+10y+1

It can be written as

3x+(-4xy)+10y+1

Therefore, the terms are 3x,-4xy,10y,\text{ and }1.

8 0
4 years ago
Use compatible numbers to estimate the quotient.674.8 ÷ 23
-BARSIC- [3]

Answer:

~30

Step-by-step explanation:

By using division, the answer is 29.34. If the question is asking to estimate, I would estimate the quotient as 30.

5 0
3 years ago
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