E
Book
.com.pk
Student Learning Portal
Home
Categories & Hubs
Boards
Textbooks
Search
Log In
Home
punjab-curriculum-and-textbook-board-pctb
10th-class
mathematics
Mathematics - 2026
Variations
3.2 Theorems on Proportions (Solving Equations)
Topic 3.5c
3 mins read
hard Level
2024 Edition
3.2 Theorems on Proportions (Solving Equations)
Textbook Content
Formulas & Equations (3)
Squaring both sides
x
+
3
x
−
3
=
49
x
+
3
x
−
3
=
49
\frac{x + 3}{x - 3} = 49
x
−
3
x
+
3
=
49
x
−
3
x
+
3
=
49
x
+
3
=
49
(
x
−
3
)
⇒
x
+
3
=
49
x
−
147
⇒
x
−
49
x
=
−
147
−
3
x
+
3
=
49
(
x
−
3
)
⇒
x
+
3
=
49
x
−
147
⇒
x
−
49
x
=
−
147
−
3
x + 3 = 49(x - 3)\Rightarrow x + 3 = 49x - 147\Rightarrow x - 49x = -147 - 3
x
+
3
=
49
(
x
−
3
)
⇒
x
+
3
=
49
x
−
147
⇒
x
−
49
x
=
−
147
−
3
x
+
3
=
49
(
x
−
3
)
⇒
x
+
3
=
49
x
−
147
⇒
x
−
49
x
=
−
147
−
3
−
48
x
=
−
150
⇒
48
x
=
150
⇒
x
=
150
48
=
25
8
−
48
x
=
−
150
⇒
48
x
=
150
⇒
x
=
150
48
=
25
8
-48x = -150\Rightarrow 48x = 150\Rightarrow x = \frac{150}{48} = \frac{25}{8}
−
48
x
=
−
150
⇒
48
x
=
150
⇒
x
=
48
150
=
8
25
−
48
x
=
−
150
⇒
48
x
=
150
⇒
x
=
48
150
=
8
25
Topic Tags:
#componendo-dividendo
#solving equations
3.2 Theorems on Proportions (Further Examples)
EXERCISE 3.4