The number of x's is the same on both sides of the equation and the constant is also the same a = b, c₁ = c2
A. No solution
B. Two solutions.
C. Three solutions.
The given equation is a = b, and the given condition is c₁ = c₂.
Since a = b, any value of a will also be a value of b.
Since c₁ = c₂, any value of c₁ will also be a value of c₂.
Therefore, the equation has infinitely many solutions.
Therefore, the correct answer is:
D. Infinitely many solutions.
Based on the given information, "The number of x's is the same on both sides of the equation and the constant is also the same, a=b, c₁=c₂," we can conclude that there is a unique solution for the equation.
Therefore, the correct answer is A. No solution.