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Byju's Answer
Standard VI
Mathematics
Addition and Subtraction of Algebraic Expressions
If 3x – 4y = ...
Question
If
3
x
–
4
y
=
1
and
5
x
–
6
y
=
7
,
then match the following.
A
8
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B
11
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C
19
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Solution
Given,
3
x
–
4
y
=
1...
(
i
)
5
x
–
6
y
=
7...
(
i
i
)
To make the coefficients of x equal, multiply equation (1) by 5 and equation (2) by 3.
E
q
u
a
t
i
o
n
(
1
)
×
5
⇒
15
x
–
20
y
=
5...
(
i
i
i
)
E
q
u
a
t
i
o
n
(
2
)
×
3
⇒
15
x
–
18
y
=
21
.
.
.
(
i
v
)
(iv) - (iii)
⇒
2
y
=
21
−
5
=
16
⇒
y
=
8
Substitute the value of y in (i)
3
x
−
4
×
8
=
1
3
x
=
33
⇒
x
=
11
⇒
x
+
y
=
11
+
8
=
19
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0
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