MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer:b. -75x+57=-75x+57Step-by-step 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-7557x + 75x = -75 - 57132x = -132⇒ x = -1i.e. it has only one solution,In option b.-75x+57=-75x+57-75x + 75x = 57 - 570 = 0 ( True )i.e. it has infinitely many solution.In option c.75x+57=-75x+5775x + 75x = 57 - 57150x = 0⇒ x = 0i.e. it has only one solution,In option d.-57x+57=-75x+75-57x + 75x = 75 - 5718x = 18⇒ x = 1i.e. it has only one solution.