solve this system: 3x+2y=-6, x+3y=-2 graph them in one graph

Expert Answers

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

3x+ 2y = -6 ...........(1)

x + 3y = -2 ..............(2)

First we will solve algebraically.

Multiply (2) by -3 and add to (1).

==> 3x + 2y = -6

==> -3x -9y = 6

==> -7y = o ==> y= 0

==> 3x = -6 ==> x = -2

Then, the solution is the point (-2,0)

Now we will verify by graphing both lines.

3x+2y = -6 ( black line)

x+ 3y = -2  (red line)

You can see that both lines intersects at the point (-2, 0) which is the solution of the system.

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team