SOLUTION: solve by the elimination method 2x+3y=1 4x+6y=2

Question 197239: solve by the elimination method
2x+3y=1
4x+6y=2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Multiply the both sides of the first equation by -2.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Since is always true, this means that there are an infinite number of solutions.

So the system is consistent and dependent.

RELATED QUESTIONS
Solve by the elimination method 2x+3y=2... (answered by jim_thompson5910)

solve by the elimination method 2x=3y=1 4x+6y=2 what is the solution of the... (answered by jim_thompson5910)

Solve by elimination method. 2x+3y=5... (answered by oscargut)

solve each system by the elimination method 1)3x+2y=10 2x+y=7 2)3x-2y=7 2x-y=8 (answered by jojo14344)

1.Solve by substitution or elimination method: 3x � 2y = 26 -7x + 3y = -49... (answered by Edwin McCravy)

please help me with this problem! solve by the elimination method. 2x + 3y = 5 4x +... (answered by jorel1380)

I have to solve each system of equations by the elimination method. 3/4x + 1/3y = 1... (answered by checkley77)

Solve by the elimination method 2x + 3 y = 2 4x + 6y = 4 The solution is ?????... (answered by stanbon)

Solve the following system of equations by elimination. 2x - 6y = 3 (1) 4x + 9y = (answered by donna04)