SOLUTION: Identify the number of solutions for this system: 2y=4x+2 Y+3=2x

Question 1089541: Identify the number of solutions for this system: 2y=4x+2
Y+3=2x
Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
No solutions.
is equivalent to
(just divide both sides of the equal sign by 2).
is equivalent to
(just subtract 3 from both sides of the equal sign).
The same value cannot equal and at the same time.
So there is no (x,y) pair that could be the solution.
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

2y = 4x + 2 (1) Y + 3 = 2x (2) Divide the first equation by 2 (both sides) and write both equations in the standard form. 2x - y = -1, 2x - y = 3. You see that the left sides of these equations are identical, while right sides are different. Therefore, the original system of two equations has no solutions. Answer. The system has no solutions.

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