SOLUTION: I need help, I got 'no solution' for this equation, but I'm not sure if it is correct. Can someone check the work to see if it is no solution? Please? Thank you so much for helping

Question 1067951: I need help, I got 'no solution' for this equation, but I'm not sure if it is correct. Can someone check the work to see if it is no solution? Please? Thank you so much for helping me :)
4x + 7y = 3
4x + 7y = 5
Found 2 solutions by t0hierry, ikleyn:
Answer by t0hierry(194)   (Show Source): You can put this solution on YOUR website!
4X + 7Y = 3 so far so good.
4X + 7Y = 3 = 5?
3 cannot be equal to 5, so no solutions.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
The two equations have identical left side, but different right sides.

It can not happen, so the system has no solutions.

It represents two parallel straight lines that have no intersections and have no common points.

In the geometric language. it means that the system has no solutions.

For more details see the lesson
    - Geometric interpretation of a linear system of two equations in two unknowns
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "
Systems of two linear equations in two unknowns".

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