## 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

Question

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

in progress
0

Mathematics
1 week
2021-07-20T04:44:13+00:00
2021-07-20T04:44:13+00:00 1 Answers
5 views
0
## Answers ( )

Answer:B

Step-by-step explanation:Line H is represented by the equation:

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:

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

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

The answer is B.