The graph of the system of the linear equations is shown in the diagram below.
How to Graph a System of Linear Equations?
The equations of a system can be expressed in slope-intercept form where m is the slope of the line and b is the y-intercept of the line, as: y = mx + b.
Given the system of linear equations as:
x - y = 8 --> equation 1
5x + y = 10 --> equation 2
Rewrite each of the equations in slope-intercept form to determine the slope and y-intercept values of each line:
y = x - 8 --> equation 3 (from eqn. 1): slope is -1 and y-intercept is 8
y = -5x + 10 --> equation 4 (from eqn. 2) slope is -5 and y-intercept is 10
Thus, the graph of the system of the linear equations is shown in the diagram below.
Learn more about graph of linear system on:
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