Question

Solve the following system of equations.
3x +1/4y =-3/4
-1/2x+1/3y=8

Answer 1

@TorilovesVampires

Answer 2

are you sure you typed out those equations correctly? they look somewhat odd to me

Answer 3

ok, much better. we can start by multiplying the second equation by 6

Answer 4

-3x+2y=48

Answer 5

good, now we have:

3x + (1/4)y = (-3/4)
-3x + 2y = 48

now add the two equations together

Answer 6

x+2.25y=47.25

Answer 7

don't think I'm supposed to have decimals

Answer 8

@Vocaloid

Answer 9

almost

3x - 3x = ?

Answer 10

I know this one :)

Answer 11

x

Answer 12

nope, not quite

hint:

3 - 3 = 0
3x - 3x = ?

Answer 13

0x

Answer 14

There is no such thing as 0x

That would be just 0...

Answer 15

good, and 0x = 0 because 0 times anything is 0

so now we have:

2.25y = 47.25

y = ?

Answer 16

21

Answer 17

2.25y is saying 2.25 times y. Negate that by dividing.

Divide both sides by 2.25

Answer 18

i did that

Answer 19

y= 21

Answer 20

what about solving for X

Answer 21

ok, now we know that y = 21

we can solve for x by plugging in y = 21 back into one of the other equations

Answer 22

for both equations

Answer 23

-(1/2)x + (1/3)y = 8

-(1/2)x + (1/3)21 = 8

-(1/2)x + 7 = 8

x = ?

Answer 24

we only need to plug in y = 21 into one of the equations, since both will give us the same x value

Answer 25

.5

Answer 26

1/2

Answer 27

nope, not quite

(-1/2)x + 7 = 8

subtract 7 from each side to get

(-1/2)x = 1

x = ?

Answer 28

-.5

Answer 29

nope, check your math again

Answer 30

1/(-1/2) = ?

Answer 31

-2

Answer 32

good, so x = -2 and y = 21

Answer 33

thanks!