Which of the following systems of equations has infinitely many solutions?

a. 4x − 7y = 1; 14y = 8x − 3
b. 8x − 3 = 6y; 12y − 6 = 2x
c. 4x − 5y = 13; 10y = 8x − 26
d. 5y = -x − 5; -2x + 15y = 10

Question

Which of the following systems of equations has infinitely many solutions? 

    a. 4x − 7y = 1; 14y = 8x − 3 
    b. 8x − 3 = 6y; 12y − 6 = 2x 
    c. 4x − 5y = 13; 10y = 8x − 26 
    d. 5y = -x − 5; -2x + 15y = 10

anonymous · Answer

it is the one where they both describe the same line...
to find out write out each line in one form, for example slope-intercept form...
the one that are the same is the choice you want.

anonymous · Answer

a) No Solution

b) x=6/7   y=9/14

c) $$x = (5y +13) / 4$$ and $$y \in \mathbb{R}$$ d) x = -5   and y = 0

anonymous · Answer

c) And if you put x in the other equation 10y = 8(5y+13/4)-26