SOLUTION: im sorry i have one more question: did i get this right? the problem was:-1.5x+0.3y=-7.2, 3x-0.6y=14.4 once more i had addition/elimination method. heres what i got, 0=-43.2 or

Question 999101: im sorry i have one more question:
did i get this right? the problem was:-1.5x+0.3y=-7.2, 3x-0.6y=14.4
once more i had addition/elimination method. heres what i got, 0=-43.2 or
no solution
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i didn't get that.

your equations are:

-1.5x + .3y = -7.2
3x - .6y = 14.4

multiply both sides of the first equation by 2 and leave the second equation as is to get:

-3x + .6y = -14.4
3x - .6y = 14.4

add the equations together to get:

0x + 0y = 0 which becomes 0 = 0

since you get 0 = 0, there are infinitely many solutions and the graphs of the lines are identical.

in standard form of a linear equation, if the equations are multiples of each other, then they are identical to each other.

these equations are multiples of each other as you will see in a moment.

the two equations are:

-1.5x + .3y = -7.2
3x - .6y = 14.4

multiply both sides of the first equation by -1 and leave the second equation as is and you get:

1.5x - .3y = 7.2
3x - .6y = 14.4

3 is twice 1.5
.6 is twice .3
14.4 is twice 7.2

the equations are multiplies of each other in standard form, therefore identical.

every point on the line of the first equation will also be on the line of the second equation.

when graphed, both equations look like the same line.

RELATED QUESTIONS
SORRY I HAD ENTERED THE WRONG EMAIL ADDRESS.typo error hi there I am currently doing... (answered by ewatrrr)

i have 3 problems to figure out. the first one is: 14-10+x<-x-8. i started to do 4+x<-x-8 (answered by stanbon,mananth)

, Im an oI need help multiplying polynomialsnline student. (3x +4) (x^2 -5x +1) I'm not (answered by samuel nkadi)

y^2-9/4*8/y+3 Im sorry i had wrote this problem earlier, it was all one problem, but i (answered by tutorcecilia)

2x-3y+4z=1 x+3y-2z=4 3x-y+z=2 So far i have tried this.. 2x-3y+4z=-1 x+3y-2x=4... (answered by Fombitz,earmstrong620)

I need to solve the following system of linear equations with three variables. Here is... (answered by ptaylor)

I am trying to graph 3y= -5x, I tried by substituting x for 0 then y for 0. I ended up... (answered by josgarithmetic,MathTherapy,greenestamps)

Can you please tell me if i got these correct? Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)

Hi: I wondered if you could check this problem for me... Solve each system by the... (answered by scott8148)