Solve x = 4 5 x + 10 and check your results.

Given x = 4 5 x + 10 . Multiplying both sides by 5 ⇒ 5 x = 5 × 4 5 x + 10 ⇒ 5 x = 4 x + 10 ⇒ 5 x = 4 x + 40 Transposing 4 x to LHS ⇒ 5 x - 4 x = 40 ⇒ x = 40 Verification: Substituting x = 40 on LHS and RHS LHS : x = 40 RHS : 4 5 x + 10 = 4 5 40 + 10 = 4 5 50 = 40 LHS = RHS Hence, verified.

Solve 2 x 3 + 1 = 7 x 15 + 3 and check your results.

Given 2 x 3 + 1 = 7 x 15 + 3 Multiply both sides by 15 ⇒ 15 × 2 x 3 + 15 = 15 × 7 x 15 + 3 × 15 ⇒ 10 x + 15 = 7 x + 45 Transposing 7 x to LHS ⇒ 10 x - 7 x + 15 = 45 ⇒ 3 x + 15 = 45 Subtract 15 from both sides ⇒ 3 x + 15 - 15 = 45 - 15 ⇒ 3 x = 30 Divide by 3 on both sides ⇒ 3 x 3 = 30 3 ⇒ x = 10 Verification: Substituting x = 10 on LHS and RHS LHS : 2 x 3 + 1 = 2 10 3 + 1 = 23 3 RHS : 7 x 15 + 3 = 7 10 15 + 3 = 14 3 + 3 = 23 3 LHS = RHS Hence, verified.

Solve 2 y + 5 3 = 26 3 - y and check your results.

Given, 2 y + 5 3 = 26 3 - y Adding y to both sides, ⇒ 2 y + y + 5 3 = 26 3 - y + y ⇒ 3 y + 5 3 = 26 3 Multiplying both sides by 3 , ⇒ 3 × 3 y + 5 = 26 ⇒ 9 y + 5 = 26 Transposing 5 to R H S , ⇒ 9 y = 26 - 5 ⇒ 9 y = 21 Dividing both sides by 9 , ⇒ y = 21 9 ⇒ y = 7 3 Verification: Substituting y = 7 3 on LHS and RHS , LHS : 2 y + 5 3 = 2 7 3 + 5 3 = 19 3 RHS : 26 3 - y = 26 3 - 7 3 = 19 3 LHS = RHS Hence, verified.

Solve 3 m = 5 m - 8 5 and check your results.

Given, 3 m = 5 m - 8 5 Transposing 3 m to RHS ⇒ 0 = 5 m - 3 m - 8 5 ⇒ 0 = 2 m - 8 5 Adding 8 5 on both sides ⇒ 8 5 = 2 m - 8 5 + 8 5 ⇒ 8 5 = 2 m ⇒ 2 m = 8 5 Dividing both sides by 2 ⇒ m = 8 10 ⇒ m = 4 5 Verification: Substituting m = 4 5 on LHS and RHS LHS : 3 m = 3 4 5 = 12 5 RHS : 5 m - 8 5 = 5 4 5 - 8 5 = 12 5 LHS = RHS Hence, verified.

E M B I B E

MATHEMATICS Textbook for Class VIII>Chapter 2 - Linear Equations in One Variable>EXERCISE

Goa Board Solutions for Chapter: Linear Equations in One Variable, Exercise 3: EXERCISE

Author:Goa Board

Goa Board Mathematics Solutions for Exercise - Goa Board Solutions for Chapter: Linear Equations in One Variable, Exercise 3: EXERCISE

Attempt the practice questions on Chapter 2: Linear Equations in One Variable, Exercise 3: EXERCISE with hints and solutions to strengthen your understanding. MATHEMATICS Textbook for Class VIII solutions are prepared by Experienced Embibe Experts.