Identify the type of system as consistent, inconsistent, or equivalent.
y = -x + 4
2x + 2y = 8

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Asked 3/20/2014 9:54:50 AM

Updated 3/21/2014 6:53:46 AM

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Question

Asked 3/20/2014 9:54:50 AM

Updated 3/21/2014 6:53:46 AM

4 Answers/Comments

Rating

3

2x + 3y = 6, multiply 2 on both sides we get: 4x + 6y = 12;

5x + 2y = 4, multiply 3 on both sides we get: 15x + 6y = 12;

Subtracting the above two equations we get: 11x = 0, so x = 0

4(0) + 6y = 12, y = 12/6 = 2

The solution for 2x + 3y = 6, 5x + 2y = 4 is (0, 2)

5x + 2y = 4, multiply 3 on both sides we get: 15x + 6y = 12;

Subtracting the above two equations we get: 11x = 0, so x = 0

4(0) + 6y = 12, y = 12/6 = 2

The solution for 2x + 3y = 6, 5x + 2y = 4 is (0, 2)

Added 3/20/2014 11:24:14 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [3/20/2014 11:42:14 PM]

3

x + y = 4

x - y = 6

Adding up equations we get 2x = 10, so x = 5

y = 4 - x = 4 - 5 = -1

There is one solution (5, -1)

So, the system of equations x + y = 4, x - y = 6 is consistent (independent type)

x - y = 6

Adding up equations we get 2x = 10, so x = 5

y = 4 - x = 4 - 5 = -1

There is one solution (5, -1)

So, the system of equations x + y = 4, x - y = 6 is consistent (independent type)

Added 3/20/2014 11:37:49 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [3/20/2014 11:42:15 PM]

3

x + y = 6,

y = 3 - x

Replace y in the first equation with the second one we get:

x + 3 - x = 6

simpliy the equation we get: 3 = 6 which is not true.

Therefore, there is no slution for the lear system x + y = 6, y = 3 - x

The liear system x + y = 6, y = 3 - x is inconsistent.

y = 3 - x

Replace y in the first equation with the second one we get:

x + 3 - x = 6

simpliy the equation we get: 3 = 6 which is not true.

Therefore, there is no slution for the lear system x + y = 6, y = 3 - x

The liear system x + y = 6, y = 3 - x is inconsistent.

Added 3/20/2014 11:42:09 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [3/20/2014 11:42:16 PM]

0

Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 What is the solution set?

ans:{(3, 4)}

solution:-

y=4,

2x-4-2=0,

or, 2x=6,

or, x=3

ans:{(3, 4)}

solution:-

y=4,

2x-4-2=0,

or, 2x=6,

or, x=3

Added 3/21/2014 6:53:46 AM

The point, (-3, 2) is a solution to the following system.
y > x -2
x 1
True
False User: What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.
x - y + 2 = 0
x + y - 2 = 0
x - y - 2 = 0 **Weegy:** C.x - y - 2 = 0
**User:** Determine the slope of a line parallel to the line defined by the equation y - x = 5? (More)

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Updated 3/20/2014 7:21:33 PM

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