SOLUTION: Using the addition method 7x-4y=14 -7x+6y=11

Question 275008: Using the addition method
7x-4y=14
-7x+6y=11
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 .

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

Now go back to the first equation.

Plug in .

Multiply.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

RELATED QUESTIONS
Solve by addition method 7x-4y=13... (answered by unlockmath)

Solve by using the elimination method 7x+6y=11... (answered by drj)

solve the following system by the addition method: {7x-6y=13} by... (answered by jim_thompson5910)

solve system of equations using multiplication with the addition method; 7x-3y=-5... (answered by mananth)

Solve by the addition method 7x-4y=-3 x+2y=5 #24 x-y=3... (answered by checkley75)

2x=3y+11 7x-4y=6 Solve system with addition... (answered by nabla)

Addition method 5x-2y=-1... (answered by jim_thompson5910,checkley77)

how do i solve 2x-7y=-29 and 7x+2y=-22 using the addition... (answered by ewatrrr)

Solve by the addition method. 7x-4y=-3... (answered by checkley75)