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| PAGE: 441 | SET: Exercises | PROBLEM: 1 |
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 x from each side.
.
Rewrite equation 2: 
in slope - intercept form.
Add x 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 
for x and 2 for y in each of the original equations.
Substitute 
for x and 2 for y in the equation 1: 
.
.
The above statement is true, so is a solution of equation 1.
Substitute for x and 2 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 .
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