Question

Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?

6 (x + 3) + x = 7 x + 2 + 1
6 (x + 3) + x = 7 x + 5
6 (x + 3) + x = 6 x + 3 + 15
6 (x + 3) + x = 7 x + 9 + 9

Answer 1

It is the last one
Hope this helps!

Answer 2

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Answer:

6 (x + 3) + x = 7 x + 9 + 9

Explanation:

The equation will have an infinite number of solutions if the left side is equal to the right side. The left side in each case is 7x+18.

The right sides are (in the order shown) ...

= 7x +3

= 7x +5

= 6x +18

= 7x +18 . . . . . . matches the left side

The equation 6 (x + 3) + x = 7 x + 9 + 9 will have infinitely many solutions.