Question

6x+4y=2, x-12y=-101

Answer 1

I would first solve x-12y=-101 for x

Answer 2

x-12y=-101

x-12y+12y=-101+12y ... Add 12y to both sides.

x = 12y - 101

Answer 3

Then you go to the other equation, 6x+4y=2, and plug that expression in

Answer 4

6x+4y=2

6(12y-101)+4y=2 ... replace x with 12y - 101

72y - 606 + y = 2


can you solve for y from here?

Answer 5

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Answer 6

72y=608
y=8.3?

Answer 7

you should have y = 608/73 which is approximately y = 8.3288

Answer 8

once you know the value of y, you can use it to find the value of x

Answer 9

x = 12y - 101

x = 12(608/73) - 101 ... replace y with 608/73

x = ??

Answer 10

oh wait, I made a typo

Answer 11

I went from 6(12y-101)+4y=2 to 72y-606+y=2

when it *should* be 72y-606+4y=2

Answer 12

for some reason, I lost that '4'

Answer 13

what do you get when you solve 72y-606+4y=2

Answer 14

72y=608
y=8?

Answer 15

correct

Answer 16

although, hold on, it should be 76y = 608

Answer 17

you have 72y and 4y, they add to 76y

Answer 18

so

76y = 608
y = 608/76
y = 8

Answer 19

but y = 8 is correct

Answer 20

Now move back to x = 12y - 101 and plug in y = 8 to find x


x = 12y - 101

x = 12(8) - 101

x = ???

Answer 21

How did we get 76 from 72? I thought we were subtracting 4 from both sides?

Answer 22

no you had 72y and 4y on the same side

they add to 72y+4y = 76y

Answer 23

72y-606+4y=2

72y+4y-606=2

76y - 606 = 2

76y - 606+606 = 2+606

76y = 608