Option B is correct.
Step-by-step explanation:
We need to identify which of the following equations has exactly one solution.
We will solve each equation to find the answer
A. [tex]ax+b=ax+b[/tex]
Solving and finding value of x:
[tex]ax+b=ax+b\\ax-ax=b-b\\0=0[/tex]
This equation has infinite number of solutions because both sides are equal to 0
B. [tex]ax=bx+c[/tex]
Solving and finding value of x:
[tex]ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}[/tex]
This equation has exactly one solution
C. [tex]ax+b=ax+c[/tex]
[tex]ax+b=ax+c\\ax-ax=c-b\\0=c-b[/tex]
This equation has no solution because both sides are not equal.
So, Option B is correct.
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
