Question

Solve by graphing.

Answer 1

Given:

The given system of equations is:

$2x+y=1$

$x-2y=8$

To find:

The solution to this system of equations by graphing.

Solution:

We have,

$2x+y=1$

$x-2y=8$

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