Answer:
The point (2,12) is not a solution of the system
see the explanation
Step-by-step explanation:
we have
[tex]y=5x+2[/tex] ----> equation A
[tex]4x-y=0[/tex] ----> equation B
Solve the system by elimination
Adds equation A and equation B
[tex]y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2[/tex]
Find the value of y
substitute the value of x in the equation A
[tex]y=5(-2)+2=-8[/tex]
The solution of the system is the point (-2,-8)
The system has only one solution, because the intersection point both lines is only one point
therefore
The point (2,12) is not a solution of the system
