Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
[tex]y=4x-5[/tex] ----> equation A
[tex]y=-3[/tex] ----> equation B
Solve the system by substitution
Substitute equation B in equation A
[tex]-3=4x-5[/tex]
Solve for x
Adds 5 both sides
[tex]-3+5=4x[/tex]
[tex]2=4x[/tex]
Divide by 4 both sides
[tex]x=0.5[/tex]
therefore
The solution is the point (0.5,-3)
Verify your answer using the graph
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
