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

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Question 1069198: 2x + 5y =4
4x + 10y =1
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787) About Me  (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(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing both sides of the second equation by 2 gives %284x%2B10y%29%2F2=1%2F2

2x%2B5y=1%2F2

Now, your system of equations shown more simply is system%282x%2B5y=4%2C2x%2B5y=1%2F2%29
Their slopes are equal; they represent parallel lines and will not intersect, so this system has no solution.