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Byju's Answer
Standard XII
Mathematics
Consistency of Linear System of Equations
Solve 4x+6y...
Question
Solve
4
x
+
6
y
=
15
and
6
x
−
8
y
=
14
and hence find 'p' , if
y
=
p
x
−
2
.
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Solution
The given system of equation is
4
x
+
6
y
=
15
..(i)
6
x
−
8
y
=
14
.(ii)
Multiplying equation (i) by
4
and equation (ii) by
3
, we get
16
x
+
24
y
=
60
..(iii)
18
x
−
24
y
=
42
(iv)
Adding (iv) and (iii), we get
34
x
=
102
⇒
x
=
3
Putting
x
=
3
in equation (i), we get
12
+
6
y
=
15
⇒
y
=
2
Hence, the solution of the given system of equations is
x
=
3
,
y
=
2
Putting
x
=
3
,
y
=
2
in
y
=
p
x
−
2
, we get
2
=
3
p
−
2
⇒
p
=
4
/
3
.
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