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Byju's Answer
Standard X
Mathematics
Equations Reducible to a Pair of Linear Equations in Two Variables
2x+15y=23 7x...
Question
2x+15y=23 7x-5y=51 solve by elimination method.
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Solution
The
given
equations
are
:
2
x
+
15
y
=
23
.
.
.
.
1
7
x
-
5
y
=
51
.
.
.
.
.
2
Multiply
1
by
1
and
2
by
3
,
we
get
2
x
+
15
y
=
23
.
.
.
.
3
21
x
-
15
y
=
153
.
.
.
.
4
Adding
3
and
4
,
we
get
23
x
=
176
⇒
x
=
176
23
Now
,
put
the
value
of
x
in
1
,
we
get
2
×
176
23
+
15
y
=
23
⇒
352
+
345
y
23
=
23
⇒
345
y
+
352
=
529
⇒
345
y
=
177
⇒
y
=
177
345
=
59
115
So
,
x
=
176
23
;
y
=
59
115
is
the
solution
.
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