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Taya2010 [7]
3 years ago
9

What is the solution of the following system?

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0
<h3>Answer:  B) no solutions</h3>

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

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3 years ago
Please help n show work
notsponge [240]

x = time in minutes

y = distance remaining

Steve starts at home when the time is x = 0 minutes. The y value y = 40 pairs up with this x value. This is shown by the point (0,40) on the diagonal line, aka the y intercept. The y intercept is where the line crosses the y axis.

The y = 40 indicates that Steve has 40 miles remaining when he starts at home. In other words, the distance from home to work is 40 miles.

The x intercept is where the diagonal line crosses or touches the x axis. The x intercept is (45,0) which represents the idea that 45 minutes have passed by. The y = 0 means that he has 0 miles left go to. Steve has reached the office at this point.

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

Answers:

Steve's office is located 40 miles from home

It takes him 45 minutes to travel this distance

3 0
3 years ago
I need help in this question
AlladinOne [14]

Answer:

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6 0
2 years ago
Is y=2x-8 and 2x-y=8 a dependent independent or inconsistent
kolbaska11 [484]
Note that 2x-y=8 can be solved for y:  y=2x-8.  This is identical to the first equation.  The graph of one is exactly the same as the graph of the other.  Thus, the two equations are dependent.
4 0
3 years ago
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You just looked at the graph of this system of equations. Why will the lines never intercept?
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Answer:

Step-by-step explanation:

The have the same slope, -1, but different y-intercepts. The lines are parallel.

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