Expert Answers

An illustration of the letter 'A' in a speech bubbles

Solve the system :

3x+4y=-3
x+2y=-5

We can solve using the combinations method:

Multiply the second equation by -2, then add the resulting equation to the first equation:

3x+4y=-3
-2x-4y=10
------------

x=7

Substituting x=7 into the first equation we get:

3(7)+4y=-3

4y=-24

y=-6

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

The solution is (7,-6)

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

Check: 3(7)+4(-6)=21-24=-3 and 7+2(-6)=7-12=-5

The graphs:

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial