Question 77827

3b - 2a = 4

==> 3b = 4 + 2a [adding 2a to both the sides]

==> b = (4+2a)/3

Plugging in this value in the second equation,

b/2 - 2a/3 = 1

==> (4+2a)/3*2 - 2a/3 = 1

==> 2(2+a)/6  -  2a/3 = 1 [factoring 4+2a]

==> 2+a/3 - 2a/3 = 1  [cancelling 2 in the first term]

==> 2 + a - 2a = 3 [multiply by 3]

==> 2 - a = 3

==> -a = 3 - 2

==> -a = 1

==> a = -1

so b = 4+2(-1)/3

==> b = 2/3

Thus a = -1 amd b= 2/3



Good luck