Which of the following equations has infinite solutions?

A. -10×+4= -10×+4
B. -10×+4=10×+3
C. 10x+3=-10×+3
D. 10x+4=10×-4

1 answer

To determine which of the equations has infinite solutions, we can analyze each one:

A. 10x+4=10x+4

This is an identity since both sides of the equation are exactly the same for any value of x. Thus, it has infinite solutions.

B. 10x+4=10x+3

Rearranging this gives: 10x10x=3420x=1x=120 This equation has a single solution.

C. 10x+3=10x+3

Rearranging gives: 10x+10x=3320x=0x=0 This equation also has a single solution.

D. 10x+4=10x4

Rearranging gives: 10x10x=440=8 This is a contradiction and thus has no solutions.

In summary, the equation that has infinite solutions is:

A. 10x+4=10x+4.