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fgiga [73]
2 years ago
5

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d

ecided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Mathematics
1 answer:
seraphim [82]2 years ago
3 0

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

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Answer:

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6 0
3 years ago
What is the standard form of the equation of the line through (6, –3) with a slope of 2/3? a. 2x – 3y = 21 b. 3x – 2y = –21 c. –
vekshin1

Answer:

i think its b

Step-by-step explanation:

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3 0
3 years ago
I NEED HELP ASAP PLEASE AND THANKS.
yanalaym [24]

Answer:

b=320; slope=-30

Step-by-step explanation:

if you look along the y-axis find the spot that the line intercepts and then that's b

now for the slope

find two points on the line, i chose(8 , 120) and (4 , 240)  

use the slope formula: y2-y1 over x2-x1

240-120=120 and 4-8= -4

so the slope is 120/-4 and that can be simplified to 30/-1 or -30

8 0
3 years ago
2
docker41 [41]

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

E=142990 \times 7.8\\\\=1115322

The magnitude of claimed earthquake is 1115322 .

8 0
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400ml of squash is made by mixing 50ml of cordial with water. what fraction of the drink is water?
olga55 [171]
7/8 of that drink is water because 50 ml is 1/8 of 400 so the other 7/8 is water
8 0
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