Which system will have an infinite number of solutions?
A. –4y = –6x + 8
y=3/2x-2
B. –4x + 5y = 8
5y = –4x + 6
C. –2x + 4y = 3
y= 1/2x+6
D. 2x – 6y = 9
5y = –4x + 6

Question

Which system will have an infinite number of solutions?
A. –4y = –6x + 8
    y=3/2x-2
B. –4x + 5y = 8
    5y = –4x + 6
C. –2x + 4y = 3
    y= 1/2x+6
D. 2x – 6y = 9
    5y = –4x + 6

anonymous · Answer

A.  When you multiply the second equation by -4, it'll be identical to the first one.

richyw · Answer

they are linear. so to have infinite solutions, they would have to be equivalent expressions.

richyw · Answer

so checking A

$$-4y=-6x+8$$$$4y=6x-8$$$$y=\frac{6}{4}x-\frac{8}{4}$$$$y=\frac{3}{2}x-2$$

richyw · Answer

which is the same as the second equation, therefore there are infinite number solutions to this system of equations.