Solve the system of equations algebraically. I know i have to change one of these equations to y = mx + b: 2x - y = 6 and -3x + 4y = 1. I just don't know what to do from there.

Question

anonymous · Answer

do you know how to solve to equation by 
y ?

anonymous · Answer

what do you mean?

anonymous · Answer

oh wait. i think i know how to do this. do you change the -3x + 4y = 1 to y = mx + b? And then solve for y?

anonymous · Answer

thats how you solve for y 
it is when you change it into 

y = mx + b

you want to know what "y"

so you are trying to " solve for it"

this goes the same as any other variable

anonymous · Answer

don't you need to solve for x too?

anonymous · Answer

yes you do 
it says 
"solve a system of equations"
and you are given 
x 
y

2x - y = 6 
-3x + 4y = 1. I

anonymous · Answer

only 2 :D

anonymous · Answer

first of all put them in slope intercept form

anonymous · Answer

i did, but i didn't get some clean numbers like integers.

anonymous · Answer

fractions

anonymous · Answer

but you know how to solve systems of equations right?

anonymous · Answer

just sub them back in and see if the are correct

anonymous · Answer

for fractions
just get the reciprocal

anonymous · Answer

and try to take them out

anonymous · Answer

Is slope intercept form the only way to go through it? Can you leave them as the orinal ones and get rid of y by multiplying all of the numbers by 4 for 2x - y = 24?

anonymous · Answer

then solve for x

anonymous · Answer

solving by graphing

anonymous · Answer

i believe i am solving the equations algrebraically. But i am not sure what you mean by graphing...

anonymous · Answer

graphing them and see where they intersect (not the advisable method)

anonymous · Answer

and there also
elimination method

anonymous · Answer

well another check is by subbing the x and y values and see if it works

anonymous · Answer

slope intercept is not a way
or method
it is how the equation must be lined up before any calculations take place

anonymous · Answer

if they are all put in slope intercept form it should look like this



y =  2 x  - 6
y = 3x/4  + 1.1/4

anonymous · Answer

does that look ok? :/

anonymous · Answer

if i were to use elimination method

because you to cancel and "eliminate" 

one of the terms distributive property is extensively used 

here multiply     -3    [    ( 2 x )    -     6      = y    ]
 multiply              8    [    (3x/4 )   +   1.1/4   = y   ]

anonymous · Answer

until get the solution for y

then substitute it to get x