Answer :
For the value of d = -4, the system has infinitely many solutions.
What is a system of equation?
A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The equation cx-d = 2x+4.
Substitute c = 2 in the equation, we get
⇒ [tex]2x-d=2x+4[/tex]
⇒ [tex]d=2x-2x-4[/tex]
⇒ [tex]d=-4[/tex]
Now substitute d in the above equation,
⇒ [tex]2x-(-4)=2x+4[/tex]
⇒ [tex]2x+4=2x+4[/tex]
Here, LHS = RHS. Both the equations are same.
Thus the system has infinitely many solutions.
Hence we can conclude that for the value of d = -4, the system has infinitely many solutions.
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