5
You visited us
5
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Proportion
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 prove that every ratio =
x
y
.
Open in App
Solution
2
x
-
3
y
3
z
+
y
=
z
-
y
z
-
x
=
x
+
3
z
2
y
-
3
x
⇒
2
x
-
3
y
3
z
+
y
=
3
z
-
y
3
z
-
x
=
x
+
3
z
2
y
-
3
x
⇒
2
x
-
3
y
3
z
+
y
=
3
z
-
y
3
z
-
x
=
x
+
3
z
2
y
-
3
x
=
2
x
-
3
y
-
3
z
-
y
+
x
+
3
z
3
z
+
y
-
3
z
-
x
+
2
y
-
3
x
Theorem
of
equal
ratios
⇒
2
x
-
3
y
3
z
+
y
=
3
z
-
y
3
z
-
x
=
x
+
3
z
2
y
-
3
x
=
2
x
-
3
y
-
3
z
+
3
y
+
x
+
3
z
3
z
+
y
-
3
z
+
3
x
+
2
y
-
3
x
⇒
2
x
-
3
y
3
z
+
y
=
3
z
-
y
3
z
-
x
=
x
+
3
z
2
y
-
3
x
=
3
x
3
y
∴
2
x
-
3
y
3
z
+
y
=
z
-
y
z
-
x
=
x
+
3
z
2
y
-
3
x
=
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 show that each ratio is
x
y
.
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.
x
(
y
+
z
−
x
)
log
x
=
y
(
z
+
x
−
y
)
log
y
=
z
(
z
+
x
−
y
)
log
z
,
then prove that
x
y
y
x
=
z
y
y
z
=
x
z
z
x
.
Q.
Prove that
∣
∣ ∣ ∣
∣
x
y
z
x
2
y
2
z
2
y
z
z
x
x
y
∣
∣ ∣ ∣
∣
=
(
y
−
z
)
(
z
−
x
)
(
x
−
y
)
(
y
z
+
z
x
+
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
Proportion
MATHEMATICS
Watch in App
Explore more
Proportion
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
