Respected sir/madam,
my douht is-
15\x+4\y=7
9\x-8\y=-1

Asked by chavanvk | 2nd Sep, 2016, 09:26: PM

Expert Answer:

begin mathsize 16px style 15 over straight x plus 4 over straight y equals 7
9 over straight x minus 8 over straight y equals negative 1
Since space the space equations space are space not space linear comma space we space put space 1 over straight x equals straight p space and space 1 over straight y equals straight q
So comma space we space get space 15 straight p space plus space 4 straight q space equals space 7.... left parenthesis straight i right parenthesis space space and space 9 straight p space minus space 8 straight q space equals space minus 1.... left parenthesis ii right parenthesis
Using space the space elimination space method comma space we space solve space for space straight p space and space straight q.
Multiply space left parenthesis straight i right parenthesis space by space 2 comma space we space get space space 30 straight p space plus space 8 space straight q space equals space 14.... left parenthesis iii right parenthesis
Adding space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis comma space we space get
39 straight p space equals space 13 rightwards double arrow straight p equals 13 over 39 equals 1 third
Substitute space space straight p space equals 1 third space in space left parenthesis straight i right parenthesis comma space we space get
15 straight p space plus space 4 straight q space equals space 7 rightwards double arrow 15 open parentheses 1 third close parentheses space plus space 4 straight q space equals space 7 rightwards double arrow 5 space plus space 4 straight q space equals space 7 rightwards double arrow 4 straight q space equals space 2 rightwards double arrow straight q space equals space 1 half
So comma space space straight x space equals 1 over straight p equals space 3 space and space straight y space equals space 1 over straight q equals space 2. end style

Answered by Rebecca Fernandes | 2nd Sep, 2016, 10:41: PM