Question

For what values of a and b will the following system of linear equations has infinitely many solutions ?

21 - 3y = 7 ; (a+b)x - (a +b -3)y = 4a+b​

Answer 1

Explanation:

Given two equations are ,

• 21x -3y = 7
• ( a + b)x - ( a + b -3)y = 4a + b .

We need to find the value of a and b for which the system of equations has infinitely many solutions .

For full solution kindly refer to the attachment .

Related Information :-

• The system of equations has only one solution if ,

=> a1/a2 ≠ b1/b2

• The system of equations has no solution if ,

=> a1/a2 = b1/b2 ≠ c1/c2 .