Question

solve for x and y:

(1/4x-(1/2)=1 and
(1/2)x-(1/3)y=12

Answer 1

(1/4)x-(1/2)=1
(1/2)x-(1/3)y=12

Answer 2

i hate fractions
so i always get rid of them first

x - 2 = 4
6x - 4y = 144

x = 6

6(6) - 4y = 144
36 - 4y = 144
-4y = 108
y = -27

Answer 3

That can't be right, the answer sheet says it is (34,15)

Answer 4

I plugged those into the equation and they worked. I can't figure out how to add the two equations to get that answer. As far as I got was

3x-2y=12
6x-4y=144

But I can't simplify them any further, because no matter what I multiply them by, the x and y both cancel out.

Answer 5

your question is wrong then
is it
(1/4)x-(1/2)y=1?

Answer 6

For the first one, yes. There is a second equation too.

Answer 7

I forgot to write the y in my correction, my bad.

Answer 8

x - 2y = 4
6x - 4y = 144

multiply first by -2
-2x + 4y = -8
6x - 4y = 144

add them
4x = 136
x = 34

x - 2y = 4
34 - 2y = 4
-2y = -30
y = 15

(34, 15)

Answer 9

That's still not right...

Answer 10

you just said the answer was 34,15
i'm completely lost as to what you are doing now....
how is my answer wrong?

Answer 11

Wait, no, you are right. I just looked at it, and when I did my work on paper, I put (12/6)x as 3x instead of 2x, I see what happened. I'm sorry :D

Answer 12

awesome
^_^