PreCalculus
posted by Caroline .
I have to use the substitution method to solve the system of equations.
4xy=9 and 2x+3y=12
I worked this problem myself and could not find a possible solution. So I put that it is inconsistent. Is that correct? If not could you please help me?

from the 1st > 4x9 = y
sub that into the 2nd
2x + 3(4x9) = 12
2x + 12x  27 = 12
14x = 39
x = 39/14
y = 4(39/14)  9 = 15/7
check:
1st:
LS = 4(39/14)  15/7
= 156/14  30/14
= 126/14 = 9 = RS
2nd:
LS = 2(39/14) + 3(15/7)
= 39/7+ 45/7
= 84/7 = 12 = RS