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DSSSB TGT Linear Equations — practice questions

Explore 18 free Linear Equations questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Equations questions and exercises with answers

Showing questions 1–18 of 18.

How many solutions does the system 2x + 3y = 5, 4x + 6y = 11 have?Read the answer and worked solution →For x − y = 1 and 2x − 2y = 2, how many solutions?Read the answer and worked solution →Which system has a unique solution?Read the answer and worked solution →A pair of equations is called inconsistent when:Read the answer and worked solution →Find the value of k so that kx + 3y = 7 and 4x + 6y = 14 represent coincident lines.Read the answer and worked solution →Solve by substitution: x + y = 10, x − y = 4.Read the answer and worked solution →Solve by elimination: 3x + 4y = 11 and 5x − 4y = 5.Read the answer and worked solution →Solve 2x + 3y = 12 and x − y = 1.Read the answer and worked solution →Find x and y in 5x − 7y = 2 and 7x − 5y = 22.Read the answer and worked solution →Solve 4x + 3y = 11 and 3x − 4y = 2.Read the answer and worked solution →A pair of equations gives a single solution iff:Read the answer and worked solution →The sum of two numbers is 25 and their difference is 5. Find them.Read the answer and worked solution →A father is 30 years older than his son. After 5 years the father will be three times as old as the son. Find their present ages.Read the answer and worked solution →Solve 1/x + 1/y = 1/3 and 1/x − 1/y = 1/12.Read the answer and worked solution →Five years ago A was thrice as old as B. Ten years later A will be twice as old as B. Find their present ages.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

How many solutions does the system 2x + 3y = 5, 4x + 6y = 11 have?

  1. infinitely many
  2. one
  3. two
  4. none
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Correct answer: D. none

a₁/a₂ = 2/4 = 1/2, b₁/b₂ = 3/6 = 1/2, c₁/c₂ = 5/11. Equal first two but third differs ⇒ parallel lines ⇒ no solution.

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For x − y = 1 and 2x − 2y = 2, how many solutions?

  1. infinite
  2. no soln
  3. only 2
  4. only 1
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Correct answer: A. infinite

The second equation is just twice the first. The lines are coincident, so infinitely many solutions.

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Which system has a unique solution?

  1. x + y = 4, 2x + 2y = 8
  2. x + y = 3, x − y = 1
  3. x + y = 5, x + y = 7
  4. x + y = 1, 2x + 2y = 2
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Correct answer: B. x + y = 3, x − y = 1

Option C has a₁/a₂ = 1/1 and b₁/b₂ = 1/−1, not equal. Lines intersect, unique solution. The others are parallel or coincident.

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More Mathematics topics

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