SOLUTION: x+4y=-1 2x-4y=4

Question 677236: x+4y=-1
2x-4y=4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

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.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

RELATED QUESTIONS
Solve the following systems of linear equations by graphing x+4y=-1... (answered by jim_thompson5910)

3x-4y=7 2x-y=3 then 3x-4y=7 -8x+4y=-12 adding -5x=-5 then x=1 then 3-4y=7... (answered by oscargut)

Factor Completely x^2-2x-4y^2-4y I got x(x-2)-4y(y-1) (answered by fractalier,ikleyn,Boreal)

x=3y+1... (answered by jim_thompson5910)

2x+4y=-8 x-y=-1 (answered by JBarnum)

x=-9y-1 2x+4y=5 (answered by avani)

2x+7y=3... (answered by mananth)

x+y=-4... (answered by Fombitz)

2x+3y=4... (answered by jim_thompson5910)