PLEASE PLEASE HELP ME!?!?!!?Determine which system below will produce infinitely many solutions. (2 points) Select one: a. 2x + 5y = 24 2x + 5y = 42 b. 3x − 2y = 15 6x + 5y = 11 c. 4x − 3y = 9 −8x + 6y = −18 d. 5x − 3y = 16 −2x + 3y = −7

Ans:- 3rd option

c. 4x − 3y = 9, −8x + 6y = −18

Reason:

For a system of equation to have infinite many solution. At that time,

[tex] \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2} [/tex]

In the given equation,
a1 = 4
b1 = -3
c1 = 9
a2 = -8
b2 = 6
c2 = -18

So,
[tex] - \frac{4}{8} = - \frac{3}{6} = - \frac{9}{18} \\ - \frac{1}{2} = - \frac{1}{2} = - \frac{1}{2} [/tex]

Hence this equation will have infinite many solution.

Hope this helps!