The equations of linear system are
.
For ease of graphing, write each equation in slope - intercept form.
\Rewrite equation 1:
in slope - intercept form.
Add 1.6x to each side.
\


Divide each side by
.

Cancel common terms.
\
.
Rewrite equation 2:
in slope - intercept form.
Subtract 2.6x from each side.
\


Divide each side by
.

Cancel common terms.
\
.
The equations
of graph in the same coordinate plane is

Observe the graph, the lines appear to intersect at the point
.
To check the ordered pair
is a solution of linear system, substitute 5 for x and 5 for y in each of the original equations.
Substitute 5 for x and 5 for y in the equation 1:
.


.
The above statement is true, so
is a solution of equation 1.
Substitute 5 for x and 5 for y in the equation 2:
.


\
.
The above statement is true, so
is a solution of equation 2.
Because
is a solution of each equation, it is a solution of the linear system.
The solution of the linear system is
.