Question

3. Find the value of a and b for which each of the following systems of linear equations has a infinite number of solutions:
2x - 3y = 7; (a+b)x - (a+b-3)y = 4a+b.
2x+3y = 7; (a+b+1)x+(a + 2b+2)y = 4(a+b)+1.
2x+3y=7; a(x + y) - 6(x - y) = 3a +b-2​

Answer 1

before you go for answer you have to take in mind that the condition for infinite solution for equation a1x+b1y+c1=0 and a2x+b2y+c2=0 is

a1/a2=b1/b2=c1/c2