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 2x from each side.
\Divide each side by negative 3.
\.
Rewrite equation 2: in slope - intercept form.
Subtract 5x 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 4 for x and 3 for y in each of the original equations.
Substitute 4 for x and 3 for y in the equation 1: .
.
The above statement is true, so is a solution of equation 1.
Substitute 4 for x and 3 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 .