Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

No Solutions
(3, 6)
Infinite Solutions
(2, 6)
Solve the system y = -x + 6 and y = x - 8 by using graph paper or graphing technology.

(1.5 , -6.5)
(7 , -1)
(10 , 2)
(2 , 2)

Help me understand these two? Thanks

Question

Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

No Solutions
(3, 6)
Infinite Solutions
(2, 6)
Solve the system y = -x + 6 and y = x - 8 by using graph paper or graphing technology.

(1.5 , -6.5)
(7 , -1)
(10 , 2)
(2 , 2)

Help me understand these two? Thanks

anonymous · Answer

There are infinite solutions to the first question since they are the same line.
$$3y = 6x+18 \rightarrow y = 2x+6$$

anonymous · Answer

For the second , just equate the two and get the value of x
$$-x+6 = x-8$$

anonymous · Answer

Wait a second, you want me to do that equation? That'd give me x?

anonymous · Answer

yes once u get x, then u can plug the value of x in either of the two equation to get y

anonymous · Answer

...Wheres the pen and paper

anonymous · Answer

answer is 7,1-