Practice30Create account

Ravi tests whether is a solution of . He works out the LHS and gets 19. What should he conclude?

Class 7Simple EquationsSimple Equations
  • A is a solution, because substituting gave a proper value for the LHS
  • B is not a solution, because LHS = 19 but RHS = 23
  • C is a solution, because 19 is only 4 away from 23
  • DNothing can be decided until is substituted into the RHS as well

Step-by-Step Solution

A value is a solution only when it makes the LHS exactly equal to the RHS. Here while the RHS is 23, so fails. Solving properly: → , and ✓. The trap is treating 'I managed to work out the LHS' as 'the value works'; the RHS is the constant 23 and has no to substitute into.
Answer: B) is not a solution, because LHS = 19 but RHS = 23

Key idea: Solving by the balance method

Example: solve .

Step 1: undo the +2 by subtracting 2 from BOTH sides.


Step 2: undo the ×3 by dividing BOTH sides by 3.
Verify**: substitute back. ✓. Always check by substitution — it catches sign errors instantly.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Simple Equations practice questions

More Class 7 Simple Equations practice

Exactly one value in the set 1, 6, 9, 18 is a solution of 5m − 8 = 3m + 10. Which one is…Which is the correct first move when solving 7x − 5 = 30 by the balance method?The second line of a student's working reads 6x = 40 + 14. Which equation was the first…Solving 5x + 12 = 47, Kabir wrote 5x = 47 + 12 and answered x = 11.8. What is his error…To solve 8x = 96, Sneha wrote 8x ÷ 8 = 96 and gave the answer x = 96. What went wrong?