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 7x from each side.
\.
Divide each side by 5.
\.
Rewrite equation 2: in slope - intercept form.
Add 9x to each side.
\.
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 1 for x and
for y in each of the original equations.
Substitute 1 for x and for y in the equation 1:
.
.
The above statement is true, so is a solution of equation 1.
Substitute 1 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 .