SOLUTION: -x+2y=-2 3x=6y+6

Algebra.Com
Question 1051839: -x+2y=-2
3x=6y+6
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
-x+2y=-2
3x=6y+6



Put both into standard form.


Simplify if possible.


Good idea may be to multiply either equation entirely by to make coefficients to have the same sign for corresponding parts.
Try doing this to the first equation of this simplified system:

But what do you notice?
.
.


NO SOLUTION.
WHY? Equal slopes. Equal constants. Lines are the same.
More correctly stated, the two equations are equivalent and represent the same line.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
-x+2y=-2
3x=6y+6
- x + 2y = - 2 -------- eq (i)

3x = 6y + 6______3x - 6y = 6 -------- eq (ii)

Multiply eq (i) by - 3, and you'll notice that it's the same as eq (ii). This means that the lines are the same. 

Thus, this is a CONSISTENT/DEPENDENT SYSTEM, and so, there is an INFINITE number of solutions. 

RELATED QUESTIONS


1/2x+ 2y=6... (answered by TimothyLamb)

Solve using substitution
3x+2y=6... (answered by mananth,mljoo)

i NEED HELP SOLVING 
3x - 6y = 2
x + 2y = 0

 (answered by josgarithmetic)

which expression is equivalent to 5x/6y?

A) 4x/3 + 1/2y

B) 5xy-10x/6y^2 + 12y

C)  (answered by rwm)

3x+2y=20... (answered by stanbon)

solve using the addition method

A) 2x-6y=-2
   5x+y=27

B) 4x-2y=-6
   3x+y=-7... (answered by solver91311)

3(x+2y-2)-2(2x-2y+5)
Distribute 3 to x+2y-2 and distribute -2 to 2x-2y+5... (answered by mifarnc)

Factorise the following expressions completely... (answered by josgarithmetic)

solve  this system of equation by graphing
1. 3x-6y=-9
   2x-4y=-6

2. x+y=-6... (answered by MathLover1)