Question

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

A 6x+35=-6x-35

B -6x+35=-6x+35

C 6x+35=-6x+35

D -6x+35=-6x-35
Please answer ASAP

Answer 1

B -6x+35=-6x+35

Explanation:

Let's analyze the options:

A ........................

• 6x+35=-6x-35
• 6x + 6x = -35 - 35
• 12x = - 70
• x = -70/12

This one has one solution

B ........................

• -6x+35=-6x+35
• - 6x + 6x = 35 -35
• 0 = 0

This one has infinitely many solutions as results in true equation for any value of x

C ........................

• 6x+35=-6x+35
• 6x + 6x = 35 -35
• 12x = 0
• x = 0

This one has one solution

D ........................

• -6x+35=-6x-35
• -6x +6x = - 35 - 35
• 0 = -70

This one has no solutions as results in false equation for any value of x