alleryStart learning →For x − y = 1 and 2x − 2y = 2, how many solutions?
- infinite
- no soln
- only 2
- only 1
Show answer and solution
Correct answer: A. infinite
The second equation is just twice the first.
The lines are coincident, so infinitely many solutions.
Indian Navy SSR (Sailor) Linear Equations — practice questions
Explore 5 free Linear Equations questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Linear Equations with Quill →Linear Equations questions and exercises with answers
Showing questions 1–5 of 5.
For x − y = 1 and 2x − 2y = 2, how many solutions?Read the answer and worked solution →Solve 4x + 3y = 11 and 3x − 4y = 2.Read the answer and worked solution →A two-digit number has digits whose sum is 9. Reversing the digits decreases the number by 27. Find the number.Read the answer and worked solution →How many solutions does the pair have?Read the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →
Worked practice questions
Solve 4x + 3y = 11 and 3x − 4y = 2.
- (3, 1)
- (2, 1)
- (1, 2)
- (2, 3)
Show answer and solution
Correct answer: B. (2, 1)
Multiply eq1 by 4 and eq2 by 3: 16x + 12y = 44 and 9x − 12y = 6. Add: 25x = 50
⇒ x = 2. Sub: 8 + 3y = 11 ⇒ y = 1.
A two-digit number has digits whose sum is 9. Reversing the digits decreases the number by 27. Find the number.
- 54
- 63
- 36
- 72
Show answer and solution
Correct answer: B. 63
Let digits be a (tens) and b (units). Number = 10a + b.
**Conditions:** a + b = 9 and (10a + b) − (10b + a) = 27
⇒ 9(a − b) = 27 ⇒ a − b = 3. Solve: a = 6, b = 3. Number = 63.
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