Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=2x+1[/tex] ----> equation A
The equation represent a linear equation (line) in slope intercept form
The slope is positive and is equal to [tex]m=2[/tex]
The y-intercept is the point (0,1)
The x-intercept is the point (-1/2,0)
[tex]y=-4x+7[/tex] ----> equation B
The equation represent a linear equation (line) in slope intercept form
The slope is negative and is equal to [tex]m=-4[/tex]
The y-intercept is the point (0,7)
The x-intercept is the point (7/4,0)
Remember that the solution of the system of equations is the intersection point both lines
To find out the intersection point, plot the intercepts, connect them to graph the line and identify the solution
using a graphing tool
The solution is the point (1,3)
The graph in the attached figure
