SOLUTION: 2x + 5y =4 4x + 10y =1

Question 1069198: 2x + 5y =4
4x + 10y =1
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

2x + 5y = 4, (1) 4x + 10y = 1. (2) Multiply the first equation by 2 (both sides). You will get an equivalent system 4x + 10y = 8, (1') 4x + 10y = 1. (2') These equations have identical left sides, but different right sides. It implies, that the system (1'),(2') has no solutions.

Answer. There are NO SOLUTIONS.

See the lesson
    - Geometric interpretation of the 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 lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Dividing both sides of the second equation by 2 gives

Now, your system of equations shown more simply is
Their slopes are equal; they represent parallel lines and will not intersect, so this system has no solution.
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