1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Elimination Method of Finding Solution of a Pair of Linear Equations
If 2 x-3 y 3 ...
Question
If
2
x
-
3
y
3
z
+
y
=
z
-
y
z
-
x
=
x
+
3
z
2
y
-
3
x
,
then show that each ratio is
x
y
.
Open in App
Solution
Let
:
2
x
-
3
y
3
z
+
y
=
z
-
y
z
-
x
=
x
+
3
z
2
y
-
3
x
=
k
By
the
theorem
on
equal
ratios
,
we
get
:
k
=
2
x
-
3
y
+
z
-
y
+
x
+
3
z
3
z
+
y
+
z
-
x
+
2
y
-
3
x
⇒
k
=
3
x
-
4
y
+
4
z
3
y
+
4
z
-
4
x
On
multiplying
z
-
y
z
-
x
by
4
,
we
get
:
k
=
4
z
-
4
y
4
z
-
4
x
Again
,
by
the
theorem
on
equal
ratios
,
we
get
:
k
=
3
x
-
4
y
+
4
z
-
4
z
-
4
y
3
y
+
4
z
-
4
x
-
4
z
-
4
x
⇒
k
=
3
x
3
y
⇒
k
=
x
y
Hence
,
each
ratio
is
equal
to
x
y
.
Suggest Corrections
1
Similar questions
Q.
If
2
x
-
3
y
3
z
+
y
=
z
-
y
z
-
x
=
x
+
3
z
2
y
-
3
x
then prove that every ratio =
x
y
.
Q.
If
x
y
+
z
-
x
=
y
z
+
x
-
y
=
z
x
+
y
-
z
and x + y + z
≠
0 then show that each ratio is equal to 1.
Q.
Show that
∣
∣ ∣ ∣
∣
x
x
2
y
z
y
y
2
z
x
z
z
2
x
y
∣
∣ ∣ ∣
∣
=
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
(
x
y
+
y
z
+
z
x
)
Q.
If
x
+
y
+
z
=
6
and
x
y
+
y
z
+
z
x
=
12
then show that
x
3
+
y
3
+
z
3
=
3
x
y
z
Q.
If
2
x
−
3
y
3
z
+
y
=
z
−
y
z
−
x
=
x
+
3
z
2
y
−
3
x
then prove that every ratio
=
x
y
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Algebraic Solution
MATHEMATICS
Watch in App
Explore more
Elimination Method of Finding Solution of a Pair of Linear Equations
Standard X Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app
