SOLUTION: 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?

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

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