Answer:
see the explanation
The system has infinity solutions
Step-by-step explanation:
we have
[tex]2x-7y=12[/tex] ----> equation A
[tex]-x+3.5y=-6[/tex]
isolate the variable x
[tex]x=3.5y+6[/tex] ----> equation B
Solve by the substitution method.
substitute equation B in equation A
[tex]2(3.5y+6)-7y=12[/tex]
solve for y
[tex]7y+12-7y=12\\12=12[/tex]
The system has infinity solutions
That means The equation A and equation B are the same line
Verify
we have
[tex]2x-7y=12[/tex] ----> equation A
[tex]-x+3.5y=-6[/tex] ----> equation B
Multiply by -2 both sides equation B
[tex](-2)(-x)+(-2)(3.5y)=-6(-2)[/tex]
[tex]2x-7y=12[/tex]
so
Equation A and equation B is the same line
The system has infinity solutions
