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

parthkohli · Answer

At the first look, I knew what the solutions are.

parthkohli · Answer

Hint: Multiply first equation by 2.

anonymous · Answer

what do u mean

anonymous · Answer

Isolate either x or y from one of the equations and use this new definition on your variable in the other equation.

jhonyy9 · Answer

ok ?

anonymous · Answer

Looks parallel, eh @Parth?

anonymous · Answer

If you multiply equation one by 2 you get

2x-4y=12
2x-4y=10

Anything look funny about that?

anonymous · Answer

x - 2y = 6
2x - 4y = 10

x=6+2y
2(6+2y)=10

x=6+2y
12+4y=10

x=6+2y
4y=-2

x=6+2y
y=-1/2

x=7, x=-1/2

anonymous · Answer

Double check your work @Kathi26 ...

jhonyy9 · Answer

@Kathi26 how do you think it ?

jhonyy9 · Answer

@CliffSedge can you solve it please ?

anonymous · Answer

Sure, like I said above:

"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.

jhonyy9 · Answer

nice

thank you

anonymous · 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.

jhonyy9 · Answer

ok

good luck

bye

anonymous · Answer

@nincompoop since the solution to a system of linear equations is where the lines intersect, might as well look at the graph of the lines.