Question 1185864: Can you solve the linear system: y = 2x - 3 and 4x - 2y = 8?
Explain your reasoning.
Explain how you can tell, without solving, how many solutions a linear system has?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
(1) Can you solve the linear system: y = 2x - 3 and 4x - 2y = 8?
ANSWER: Yes
(2) Explain your reasoning.
ANSWER: Any linear system of two equations can be solved.
(3) Explain how you can tell, without solving, how many solutions a linear system has?
One way would be to put both equations in slope-intercept form. Then
(a) different slopes --> one solution
(b) same slope and same y-intercept --> infinite solutions
(c) same slope and different y-intercepts --> no solutions
|
|
|
