Question

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

a. 57x+57=-75x-7557x+57=−75x−75
b. -75x+57=-75x+57−75x+57=−75x+57
c. 75x+57=-75x+5775x+57=−75x+5
d. −57x+57=−75x+75

Answer 1

I don’t know if this is different or whatever but I got C

Explanation:

Sorry if it’s wrong!

edit it is actually in a different order so make sure to check!

Answer 2

b. -75x+57=-75x+57

Explanation:

If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

In option a.

57x+57=-75x-75

57x + 75x = -75 - 57

132x = -132

⇒ x = -1

i.e. it has only one solution,

In option b.

-75x+57=-75x+57

-75x + 75x = 57 - 57

0 = 0 ( True )

i.e. it has infinitely many solution.

In option c.

75x+57=-75x+57

75x + 75x = 57 - 57

150x = 0

⇒ x = 0

i.e. it has only one solution,

In option d.

-57x+57=-75x+75

-57x + 75x = 75 - 57

18x = 18

⇒ x = 1

i.e. it has only one solution.