Question

Which of the following equations have exactly one solution?

Answer 1

Answer: 19x + 18 = 19x + 18

19x - 18 = -19x + 18

Step-by-step explanation:

Answer 2

Answer:

Options C and D.

Step-by-step explanation:

Choice (A).

-19x - 18 = -19x + 18

Here we are equating two equations,

y = -19x - 18

y = -19x + 18

Since slopes of these equations are same as (-19), both are parallel.

Therefore, there is no solution for the given system of equations.

Choice (B)

-19x + 18 = -19x + 18

Equations are,

y = -19x + 18

y = -19x + 18

Since both the equations represent the same line, so the system of equations will have infinite solutions.

Choice (C)

19x - 18 = -19x + 18

System of equations is,

y = 19x - 18

y = -19x + 18

Slopes of both the lines are different (19 and -19)

Therefore, the system of equations will have exactly one solution.

Choice (D)

19x + 18 = -19x + 18

System of equations is,

y = 19x + 18

y = -19x + 18

This system of equations have the different slopes.

Therefore, the system of equations will have exactly one solution.