Given:
The given system of equations is:
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
To find:
The solution to this system of equations by graphing.
Solution:
We have,
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
