Question

Solve by graphing.

2x +y=1
x – 2y = 8
The solution to this system of equations is:
x-coordinate:
y-coordinate:

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