Solve this system of equations using the elimination method:
y = 2x + 8
4x + 2y = 10

Question

Solve this system of equations using the elimination method:
y = 2x + 8
4x + 2y = 10

hartnn · Answer

subtract 2x from both sides of first equation

anonymous · Answer

y - 2x = 8?

anonymous · Answer

Sorry to bother you again btw.

hartnn · Answer

yes and no problem :)
now multiply 2 on both side

anonymous · Answer

Both sides of both equations?

hartnn · Answer

-2x +y =8
here, multiply both sides by 2
thats because , to eliminate, we try to make the co-efficients of the variable equal

anonymous · Answer

mkay.
-4x + 2y = 16

hartnn · Answer

now add the 2 equations!
-4x+2y  =16
4x+2y = 10

and observe that 'x' gets eliminated :)

anonymous · Answer

Oh, okay.
So 2y = 26
2y/2 = 26/2
y = 13

hartnn · Answer

2y+2y = 4y :P

anonymous · Answer

Oh. :/
4y = 26
4y/4 = 26/4
y = 6.5

hartnn · Answer

correct :)
now find x

anonymous · Answer

So now.... y = 2x + 8
6.5 = 2x + 8
-8 = -8
-1.5 = 2x
-1.5/2 = 2x/2
-0.75 = x

anonymous · Answer

Thank you again. :-D

hartnn · Answer

you're good at this!
welcome ^_^