2x+3y=12,x-y=1 by elimination method
Answers
Answered by
1
Answer:
x
=
3
and
y
=
−
2
Explanation:
Let
x
+
y
=
1
----------equation (1),
and
2
x
−
3
y
=
12
-----------equation (2).
Multiply equation (1) by 2 and subtract the resultant equation from (2). This is eliminate one variable, i.e.
x
and we will get value of
y
. Then substitute the obtained value of
y
in any one original given equation to get value of
x
:
(1)
×
2
-
(
2
)
⇒
⇒
2
x
+
2
y
−
(
2
x
−
3
y
)
=
2
−
12
⇒
2
x
+
2
y
−
2
x
+
3
y
=
−
10
⇒
5
y
=
−
10
⇒
y
=
−
2
Substituting
y
in (1)
(1)
⇒
x
+
(
−
2
)
=
1
⇒
x
=
1
+
2
=
3
∴
x
=
3
and
y
=
−
2
Answered by
3
Answer:
Refer to the above attachment
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