Line H is represented by the following equation: 2x + 2y = 8

What is most likely the equation for line K so the set of equations has infinitely many solutions?

x + 2y = 2
x + y = 4
2x + y = 6
x − y = 8

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Line H is represented by the equation:

[tex]2x+2y=8[/tex]

And we want to find Line K such that the set of equations has infinitely many solutions.

Remember the three solution sets for linear equations:

If the two are parallel, they have no solutions. If the two are not parallel, they will intersect and thus have only one solution. If the two are the exact same line, then they will have infinitely many solutions.

From Line H, we can divide both sides by two. This yields the equivalent equation:

[tex]x+y=4[/tex]

Therefore, the new equation and Line H are the same line. Thus, they will have infinitely many solutions.

The answer is B.

Answer 2

Answer:

b

Step-by-step explanation:

i did the test and got it right


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Answers

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Answers

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