Answer:
Option (C)
Step-by-step explanation:
System of the equations have been given as,
[tex]y=x+1[/tex] --------(1)
[tex]y=-\frac{1}{2}x+4[/tex] -------(2)
Substitute the value of y from equation (1) to equation (2),
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+\frac{1}{2}x=4-1[/tex]
[tex]\frac{3}{2}x=3[/tex]
[tex]x=2[/tex]
Substitute the value of 'x' in equation (1),
[tex]y=2+1[/tex]
[tex]y=3[/tex]
By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).
Therefore, solution of the system of equations will be [tex](2,3)[/tex].
Option (C) will be the answer.
