The equations of linear system are .
For ease of graphing, write each equation in slope - intercept form.
\Rewrite equation 1: in slope - intercept form.
Subtract 6x from each side.
\.
Rewrite equation 2: in slope - intercept form.
Subtract 4x from each side.
\Divide each side by 2.
\.
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 7 for x and
for y in each of the original equations.
Substitute 7 for x and for y in the equation 1:
.
.
The above statement is true, so is a solution of equation 1.
Substitute 7 for x and 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 .