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Byju's Answer
Standard IX
Mathematics
Addition and Subtraction of Algebraic Equations
5 x-3 y=14 ; ...
Question
5x
-
3y = 14 ; 3x
-
5y = 2
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Solution
5
x
-
3
y
=
14
.
.
.
(
i
)
3
x
-
5
y
=
2
.
.
.
(
ii
)
Here
we
observe
that
the
coefficients
of
x
and
y
in
the
first
equation
are
interchanged
in
the
second
equation
.
Adding
these
two
equations
,
we get
:
5
x
-
3
y
=
14
3
x
-
5
y
=
2
8
x
-
8
y
=
16
∴
8
x
-
y
=
16
∴
x
-
y
=
2
.
.
.
(
iii
)
Subtracting
eq
(ii)
from
(i)
,
we get
:
5
x
-
3
y
=
14
3
x
-
5
y
=
2
-
+
-
2
x
+
2
y
=
12
2
x
+
y
=
12
∴
x
+
y
=
6
.
.
.
(
iv
)
From
(
iii
)
and
(
iv
)
we
get
:
x
-
y
=
2
and
x
+
y
=
6
Suggest Corrections
0
Similar questions
Q.
Find the values of the
x
+
y
and
x
−
y
from the examples given below without solving for x and y
5
x
−
3
y
=
14
;
3
x
−
5
y
=
2
Q.
Simplify:
(
i
)
(
2
y
+
3
)
(
y
−
2
)
−
(
5
y
+
3
)
(
y
−
2
)
(
i
i
)
(
3
x
−
4
y
)
(
x
+
y
)
−
(
5
x
+
7
y
)
(
x
−
y
)
Q.
Solve:
5
x
−
3
y
+
3
=
0
6
x
−
5
y
−
2
=
0
Q.
Solve
8
x
+
3
y
=
14
;
3
x
+
y
=
5
by using substitution method.
Q.
Draw the circles whose equation are
5
x
2
+
5
y
2
=
2
x
+
3
y
.
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