Question

what is the value of $-\frac{a}{b} \\\\if 3^{a-b}= 27 \\ \\and\\9^{a+b} =3$

Answer 1

3^( a-b)= 27= 3^3

compare

a- b= 3

9^a+ b= 3

3^2( a+b) = 3

2( a+ b) = 1

a+ b= 1/2

a- b= 3

add

2a = 3+ 1/2 = 7/2

a= 7/4

b= a-3 = 7/4 - 3 = -5/4