We have the lines:
3x+y = 5 (Line shown in black)
-x+2y = -4 ( shown in red)
We start by graphing 3x+y+5
We need to locate 2 points on the graph and then draw a line that passes through these points.
let x = 0 ==> 3x +y = 5==> 3*0 + y = 5 ==> y= 5 ==> (0,5)
Let x= 1==> 3x+5 = 5 ==> 3+y= 5==> y= 2==> (1,2)
Then we have the points (0,5) and (1,2) are on the graph of the line.
Then we will draw a line passes through these points.
Now we will graph the seond line (-x+2y)= -4
==. Let x = 0==> 2y = -4 ==> y =-2 ==> (0,-2)
==> Let x = 2==> -2+2y = -4 ==> 2y = -2==> y= -1 (2,-1)
Then we will draw a line passes through the points (2,-1) and (0,-2)
Now we notice that the lines intersects at the point (2,-1).
Then, the solution is the point (2,-1)
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.
Already a member? Log in here.