SOLUTION: I am having trouble with this 10x+y=4 30x-12=-3 I need to know if they have one solution, no solution, or infinite number Is the system inconsistent, are the equation dependen

Question 287295: I am having trouble with this
10x+y=4
30x-12=-3
I need to know if they have one solution, no solution, or infinite number
Is the system inconsistent, are the equation dependent or either graph parellel,one line, intersect
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I suspect that you forgot to include y in the second equation
I will place it where I think it should be.
10x+y=4
30x-12y=-3
The slope of the first is -10/1=-10
The slope of the second is -30/-12=15/6=5/2=2.5
So they are not parallel and not perpendicular
multiply the first by -3
-30x-3y=-12
30x-12y=-3
add them
-15y=-15
y=1
10x+1=4
10x=3
x=3/10
The only solution is (3/10,1)
Google "independent consistent"
RELATED QUESTIONS
3. Solve using the elimination method. Show your work. If the system has no solution or... (answered by Alan3354)

I have tried this but I am having trouble, can you please help. Use substitution to... (answered by jim_thompson5910)

I having trouble finding out whether these Quadratic Equations have one solution, two... (answered by MathLover1)

i need help solving a chapter problem. its a word problem that many students have... (answered by rwm)

solve the following by elimination method if there is infinite answers then state that. (answered by ccs2011)

I have tried this but I am having trouble, can you please help. Use substitution to... (answered by checkley77)

Solve using the elimination method. Show your work. If the system has no solution or an... (answered by Alan3354)

Decide if the system has one solution, or an infinite number of solutions. 3x-9y=6... (answered by algebrapro18)