Answer:
(1,1)
Step-by-step explanation:
we have
[tex]y=-2x+3[/tex] ----> equation A
[tex]y=x[/tex] ----> equation B
we know that
The solution of the system of equations is the intersection point both graphs
The intersection point both graphs is the point (1,1)
see the given graph
therefore
The solution is the point (1,1)
Remember that
if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system
Verify
Substitute the value of x=1 and y=1 in each equation and analyze the result
Equation A
[tex]1=-2(1)+3[/tex]
[tex]1=1[/tex] ---> is true
so
The ordered pair satisfy the equation A
Equation B
[tex]1=1[/tex] ---> is true
so
The ordered pair satisfy the equation B
therefore
The ordered pair (1,1) is a solution of the system because satisfy both equations
