5x + 2y = 5
3x - y = 14
Which of the following equations is not a result of solving the system of equations by addition? a.) 11x = 19 b.) 11y = -55 c.) 11x = 33

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Asked 4/16/2014 2:23:27 AM

Updated 5/21/2014 9:53:27 PM

4 Answers/Comments

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Flagged by yeswey [5/21/2014 9:49:10 PM]

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Question

Asked 4/16/2014 2:23:27 AM

Updated 5/21/2014 9:53:27 PM

4 Answers/Comments

This conversation has been flagged as incorrect.

Flagged by yeswey [5/21/2014 9:49:10 PM]

Rating

3

5x + 2y = 5 (equation 1)

3x - y = 14 multiple 2 on both sides:

6x - 2y = 28 (equaiton 2)

adding up equation 1 and 2 the result is:

11x = 33;

5x + 2y = 5 multiple 3 on both sides:

15x + 6y = 15 (equation 3)

3x - y = 14 multiple -5 on both sides:

-15x + 5y = -70 (equation 4)

adding up equation 3 and 4 the result is:

11y = -55

Therefore, 11x = 19 is not a result of solving the system of equations by addition.

3x - y = 14 multiple 2 on both sides:

6x - 2y = 28 (equaiton 2)

adding up equation 1 and 2 the result is:

11x = 33;

5x + 2y = 5 multiple 3 on both sides:

15x + 6y = 15 (equation 3)

3x - y = 14 multiple -5 on both sides:

-15x + 5y = -70 (equation 4)

adding up equation 3 and 4 the result is:

11y = -55

Therefore, 11x = 19 is not a result of solving the system of equations by addition.

Added 5/21/2014 9:48:53 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [9/4/2014 4:38:28 PM]

3

7x + 2y = 4

y = x + 1

institute y in the first equation:

7x + 2(x + 1) = 4

7x + 2x + 2 = 4

9x = 4 - 2 = 2

x = 2/9

y = 2/9 + 1 = 2/9 + 9/9 = 11/9

The solution for the system 7x + 2y = 4 y = x + 1 is (2/9, 11/9)

y = x + 1

institute y in the first equation:

7x + 2(x + 1) = 4

7x + 2x + 2 = 4

9x = 4 - 2 = 2

x = 2/9

y = 2/9 + 1 = 2/9 + 9/9 = 11/9

The solution for the system 7x + 2y = 4 y = x + 1 is (2/9, 11/9)

Added 5/21/2014 9:50:28 PM

This answer has been confirmed as correct and helpful.

Confirmed by yumdrea [5/21/2014 9:54:19 PM]

3

6x - 2y = 5 (equation 1)

3x - y = 10 mulitple 2 on both sides:

6x - 2y = 20 (equation 2)

Equation 2 - equation 1 the result is:

0 = 15 which is a false statement.

Therefore, there is NO SOLUTION for the system of equations 6x - 2y = 5 3x - y = 10

3x - y = 10 mulitple 2 on both sides:

6x - 2y = 20 (equation 2)

Equation 2 - equation 1 the result is:

0 = 15 which is a false statement.

Therefore, there is NO SOLUTION for the system of equations 6x - 2y = 5 3x - y = 10

Added 5/21/2014 9:52:29 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [9/4/2014 4:38:53 PM]

3

x + y = -3

y = 2x

institute y in the first equation the result is:

x + 2x = -3

3x = -3

x = -1,

y = 2(-1) = -2

The solution for the system of equations x + y = -3 y = 2x is (-1, -2)

y = 2x

institute y in the first equation the result is:

x + 2x = -3

3x = -3

x = -1,

y = 2(-1) = -2

The solution for the system of equations x + y = -3 y = 2x is (-1, -2)

Added 5/21/2014 9:53:27 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [5/21/2014 9:58:55 PM]

Solve the system by the elimination method.
-2x + y + 6 = 0
2x + y - 8 = 0
When you eliminate x, what is the resulting equation

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Updated 4/16/2014 1:43:57 AM

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