12x − 12 = 12y 5y + 5x = 15

12x − 12 = 12y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?

Quiz

Answer/Solution

Exactly one

Steps/Work

=> 12x - 12y = 12
=> x- y =1 -- 1
5y + 5x = 15
=>x + y = 3 -- 2
From equation 1 and 2 , we get
2x = 2
=> x=1
y=1
Therefore , the given system will have Exactly one solution
Answer : D