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 10+2 B.Tech Cadet Linear Equations — practice questions
Explore 4 free Linear Equations questions in Indian Navy 10+2 B.Tech Cadet 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 1–4 of 4.
Worked practice questions
Solve 2x + 3y = 12 and x − y = 1.
- (4, 3)
- (1, 0)
- (3, 2)
- (2, 3)
Show answer and solution
Correct answer: C. (3, 2)
From the second: x = y + 1. Sub: 2(y + 1) + 3y = 12 ⇒ 5y = 10 ⇒ y = 2, then x = 3.
How many solutions does the pair have?
Read exercise and reference answers
- Items
- Item
- Lines intersect
- Category
- Exactly one
- Item
- Lines cross once
- Category
- Exactly one
- Item
- Lines are parallel
- Category
- None
- Item
- Lines never meet
- Category
- None
- Item
- Lines coincide
- Category
- Infinite
- Item
- Same line twice
- Category
- Infinite
- Categories
- Item
- Exactly one
- Item
- None
- Item
- Infinite
- Instructions
- Tap a case, then tap how many solutions it gives.
_Source: syllabus Maths Ch3 Pair of Linear Equations, PAIR OF LINEAR EQUATIONS_
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