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) Pair of Linear Equations in Two Variables — practice questions
Explore 5 free Pair of Linear Equations in Two Variables questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Pair of Linear Equations in Two Variables with Quill →Pair of Linear Equations in Two Variables 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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