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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 system of equation by using the method of cross-multiplication.
2
x
−
y
−
3
=
0
4
x
+
y
−
3
=
0
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Solution
The given system of equations is
2
x
−
y
−
3
=
0
4
x
+
y
−
3
=
0
By cross-multiplication, we have
⇒
x
−
1
×
−
3
−
1
×
−
3
=
−
y
2
×
−
3
−
4
×
−
3
=
1
2
×
1
−
4
×
−
1
⇒
x
3
+
3
=
−
y
−
6
+
12
=
1
2
+
4
⇒
x
6
=
y
−
6
=
1
6
⇒
x
=
6
6
=
1
and
y
=
−
6
6
=
−
1
Hence, the solution of the given system of equations is
x
=
1
,
y
=
−
1
.
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where x ≠ 0 and y ≠ 0