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Byju's Answer
Standard X
Mathematics
Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations
Solve the fol...
Question
Solve the following systems of equations by the method of cross-multiplication:
2
x
−
y
=
6
x
−
y
=
2
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Solution
Bring constant to LHS side
2
x
−
y
−
6
=
0
x
−
y
−
2
=
0
By method of cross multiplication :
⇒
x
(
−
1
×
−
2
)
−
(
−
1
×
−
6
)
=
y
(
−
6
×
1
)
−
(
−
2
×
2
)
=
1
(
2
×
−
1
)
−
(
1
×
−
1
)
⇒
x
=
−
4
−
1
=
4
⇒
y
=
−
2
−
1
=
2
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Similar questions
Q.
Solve each of the following systems of equations by the method of cross-multiplication :
2x − y = 6
x − y = 2