SOLUTION: 3x-5y=-3,-9x-15y=9 how do you solve using the elimination method?

Question 244750: 3x-5y=-3,-9x-15y=9 how do you solve using the elimination method?
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 3.

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.

Divide both sides by to isolate .

Reduce.

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

Now go back to the first equation.

Plug in .

Multiply.

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.

Notice when we graph the equations, we see that they intersect at

. So this visually verifies our answer.

Graph of (red) and (green)

RELATED QUESTIONS
How do you solve the following equation using the Elimination Method: -3x + 3y = 3 (answered by robertb)

how do you use elimination to solve for the x and the y 11x - 5y = 80 9x - 15y =... (answered by xcentaur)

Using the elimination method, how do you solve this? A+7B=9... (answered by Alan3354)

solve using the elimination method. 8x-5y=-9... (answered by mananth)

How do you solve: 9x = 10y 3x-2y = 12 Use the elimination method to solve the... (answered by Greenfinch)

Solve the system of equations using the addition (elimination) method. 3x � 11y = 9 -9x (answered by Nate)

5x+5y=7 and 7x-3=13 how do i solve using elimination... (answered by Alan3354,palanisamy)

How do you solve this equation using the elimination method? a+7b=7... (answered by Ave)

Using the elimination method, how would you solve the following 5x+5y=13... (answered by Alan3354)