Question

10. For what values of a and b the following
system of equations have an infinite num-
ber of solutions.
2x+3y=7 and (a - b)x+ (a + b)y = 3a + b - 2​

Answer 1

Answer:

let a1=2,b1=3and c1=7

let a2 =(a-b),b2=(a+b),c2=(3a+b-2)

Step-by-step explanation:

For infinite no. of solutions

a1/a2=b1/b2=c1/c2

2/a-b=3/a+b=7/3a+b-2

2/a-b=3/a+b

2a+2b=3a-3b

5b=a ---(¡)

7/3a+b-2=2/a-b

7/16b-2=2/4b

28b=32b-4

4=4b

b=1

:. From eq.(¡)

5(1)=a

5=a

[a=5and b=1]