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Byju's Answer
Standard IX
Mathematics
Linear Equation in Two Variables
ix 2 x+y=-2 ;...
Question
(ix) 2x + y = −2; 3x − y = 7
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Solution
2
x
+
y
=
-
2
⇒
y
=
-
2
-
2
x
.
.
.
(
i
)
3
x
-
y
=
7
.
.
.
.
(
ii
)
Substituting
eq
(
i
)
in
eq
(
ii
)
,
we
get
:
3
x
-
-
2
-
2
x
=
7
⇒
3
x
+
2
+
2
x
=
7
⇒
5
x
=
5
⇒
x
=
1
Substituting
x
=
1
in
eq
(
i
)
,
we
get
:
y
=
-
2
-
2
×
1
⇒
y
=
-
4
Hence
,
x
=
1
,
y
=
-
4
is
the
solution
of
the
given
equations
.
Suggest Corrections
0
Similar questions
Q.
Solve the following equations by substitution method.
2
x
+
y
=
−
2
;
3
x
−
y
=
7
Q.
Solve:
x
+
2
y
+
1
2
x
−
y
+
1
=
2
;
3
x
−
y
+
1
x
−
y
+
3
=
5
Q.
Solve the following simultaneous equations.
(i) 2x + y = 5 ; 3x
-
y = 5
(ii) x
-
2 y =
-
1 ; 2x
-
y = 7
(iii) x + y = 11 ; 2x
-
3 y = 7
(iv) 2x + y =
-
2 ; 3x
-
y = 7
(v) 2x
-
y = 5 ; 3x + 2y = 11
(vi) x
-
2y =
-
2 ; x + 2y = 10
Q.
(ix) 5x + 6y = 7x + 3y = 3 (x + 6y − 6)
Q.
Solve the following simultaneous equations
3
(
x
−
5
)
=
y
−
2
;
3
x
5
=
(
x
−
2
)
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