Question

5/4x+1/8x=5/8+x ?? I am so bad at fractions

Answer 1

like this?:
\[\frac{5}{4}x+\frac{1}{8}x=\frac{5}{8}+x\]

Answer 2

yes but how do you solve it??

Answer 3

ok, multiply everything by 8:

10x+x=5+8x
3x=5
x=5/3

Answer 4

ok

Answer 5

why do we multiply itby 8 b/c it is the common denominator?

Answer 6

its the least common multiple of the denominators, so it gets rid of all the fractions.

Answer 7

ok I will kepp that in mind thank you..

Answer 8

you're welcome

Answer 9

do you k now anything about the elimination method?

Answer 10

do you have a specific problem?

Answer 11

just getting it to opposite and yes! the 5x+6y=2 10x+12y=4

Answer 12

well those equations are multiples of each other

Answer 13

so elimination isnt really useful here

Answer 14

that answer calls for use of the elimination

Answer 15

to eliminate either x or y you multiply the first equation by -2, then add. But then you get 0=0

Answer 16

there are actually many solutions to that system

Answer 17

theyre both the same equation

Answer 18

there is an option for no solutions or many solutions

Answer 19

so many solutions woiuld fit

Answer 20

there are many solutions, because theyre both the same equation so you can pick any x and find a corresponding y to make the equation true

Answer 21

thank you again

Answer 22

but something like
2x+3y=15
4x+y=20

you would multiply the first equation by -2 and then add them together to eliminate x

-4x-6y=-30
4x+y=20
-5y=-10
y=2
then plug back in to find x
2x+6=15
x=9/2

Answer 23

then the solution is unique