Answer: (2,-1).
Step-by-step explanation:
The given system of equations is
[tex]3x+2y=4[/tex]
[tex]-x+3y=-5[/tex]
For [tex]3x+2y=4[/tex], table of values is
x : 0 1 2
y : 2 0.5 -1
For [tex]-x+3y=-5[/tex], table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).
