Question

PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(

Which of the following equations have exactly one solution?
Choose all answers that apply:

(Choice A)
-19x + 18 = -19x + 18

(Choice B)

-19x -18 = -19x + 18

(Choice C)

19x + 18 = -19x + 18

(Choice D)

19x - 18 = -19x + 18

Answer 1

Option C and Option D have exactly one solution.

Explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

-19x + 18 = -19x + 18

-19x+19x=18-18

0=0

(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

-19x+19x=18+18

0≠36

(no solution)

(Choice C)

19x + 18 = -19x + 18

19x+19x=18-18

38x=0

x=0

(One solution)

(Choice D)

19x - 18 = -19x + 18

19x+19x=18+18

38x=36

x=36/38

x=18/19

(One solution)

So, Option C and Option D have exactly one solution.