Solve the following pair of linear equations by the substitution method.
(i)
(1)
(2)
from equation (2)
Putting this in equation (1), we get
Putting value of y in equation (1), we get
Therefore,
and
(ii)
(1)
(2)
Using equation (1), we can say that
Putting this in equation (2), we get
Putting value of t in equation (1), we get
Therefore,
and
(iii)
(1)
(2)
Comparing equation
with
and equation
with
, we get
and
and
We have
Therefore, we have infinite many solutions for x and y (y=3x-3)
(iv)
(1)
(2)
Using equation (1), we can say that
Putting this in equation (2), we get
Putting value of y in (1), we get
Therefore,
and
(v)
(1)
(2)
Using equation (1), we can say that
Putting this in equation (2) , we get
Putting value of y in (1), we get
.
Therefore,
and
(vi)
(1)
(2)
Using equation (2), we can say that
Putting this in equation (1), we get
Putting value of y in equation (2), we get
Therefore,
and
hukala says
cn v hv sol of 3rd ques
Jashan says
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