Solve the system of equations using the addition method.
4x-5y=1
3x=6y-4

Question

Solve the system of equations using the addition method. 
     4x-5y=1
           3x=6y-4

anonymous · Answer

@Agent47

anonymous · Answer

@jim_thompson5910

agent47 · Answer

first put the unknowns on the same side:
4x-5y=1
3x-6y=-4

anonymous · Answer

ok

zzr0ck3r · Answer

first get them to look like each other, by this I mean x+y = something

so 

4x-5y = 1.....I jsut noticed agent doing the same thing.... listen to him.

agent47 · Answer

zzr0ck can finish this :P

anonymous · Answer

No Agent I like u will u finish it

agent47 · Answer

lol KE i don't like u.. jk jk ok i will

anonymous · Answer

lol :)

agent47 · Answer

So add the two equations:
4x-5y=1
3x-6y=-4
---------
7x-11y=-3

agent47 · Answer

but i dont see how using the addition method helps here...

anonymous · Answer

It says to simplify the answer and write as a ordered pair

agent47 · Answer

wait disregard all the previous steps..

agent47 · Answer

starting over:
first put the unknowns on the same side:
4x-5y=1
3x-6y=-4

multiply the second equation by -1 throughout:
4x-5y=1
-3x+6y=4

agent47 · Answer

now add the two equations:
x+y=3

agent47 · Answer

x=3-y
4x-5y=1; 12-4y-5y=1; 12-9y=1; -9y=-11; y=11/9... am i doing something totally wrong? zzr0ck can u go over my work?

agent47 · Answer

x=3 - 11/9 = 16/9

anonymous · Answer

there is also a option for infintenty amount of solutions or no solution

agent47 · Answer

as an ordered pair:
(16/9;11/9)
can u post all choices?

anonymous · Answer

A: The solution is ___
B: There are infintety many solutions 
c: there is no solution

agent47 · Answer

ok im making a mistake here, i just tested the answer, it's wrong..

anonymous · Answer

I'm lost also @Agent47

agent47 · Answer

(26/9 ;19/9)
can u check this?

anonymous · Answer

ah ill try from your previous equations,

4x - 5y = 1            Equation 1
3x - 6y = -4          Equation 2

Ill multiply equation 1 by 3
   and multiply equation 2 by 4 to get

12x - 15y = 3
12x - 24y = -16

subtracting from each other we get

9y = 19
y = 19/9

substituting this value into Equation 1

4x - 5*(19/9) = 1
4x = (9/9) + (95/9) = 104/9
x = 26/9

i think.. let me recheck

agent47 · Answer

oh there, i think this time we were both right with shi

anonymous · Answer

ok does it matter which one goes first the 19/9 or 26/9?

agent47 · Answer

26/9 goes first

agent47 · Answer

ordered pair: x; y

anonymous · Answer

yeah i plugged them in, they are correct

ordered pairs are usually written (x,y)
or you can just say x = this y = that

anonymous · Answer

Thank u sooo much that was correct