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.
