Solve the following system of equations:
x - 2y = 6
2x - 4y = 10

Question

Solve the following system of equations:
x - 2y = 6
2x - 4y = 10

anonymous · Answer

See, make either coefficient of $x$ or $y$ just equal to what is that in second equation..

anonymous · Answer

Firstly, multiply first equation by $2$..

blake57roger · Answer

"If you multiply equation one by 2 you get 

2x-4y=12 
2x-4y=10"

Since 2x-4y=2x-4y, that implies that 12=10, which is false, so there is no solution.

The lines are parallel.

anonymous · Answer

there is a solution

anonymous · Answer

So, you will get two equations as :
$$2x - 4y = 12 \ 2x - 4y = 10$$

blake57roger · Answer

Method two:

x-2y=6 --> y=x/2-3
2x-4y=10 --> y=x/2-5/2

Both lines have the same slope but a different intercept, ergo, parallel, and no solution.

anonymous · Answer

yes^

anonymous · Answer

As, at the same time, $(2x-4y)$ cannot be equal to $10$ and $12$ both, so this means lines are parallel and it is having NO SOLUTION..

anonymous · Answer

@blake57roger is right

blake57roger · Answer

Thanks