Linear Equations: Solving and Understanding Basics
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Questions and Answers

What is the general form of a linear equation in one variable?

  • 2x - 3 = x
  • ax + b = 0, a ≠ 0 (correct)
  • x^2 - x + 1 = 0
  • ax^2 + bx + c = 0, a ≠ 0

What does LHS stand for in an equation?

  • Lower Half Section
  • Long Horizontal Segment
  • Linear Heading Section
  • Left Hand Side (correct)

What is transposition in the context of solving linear equations?

  • Dividing both sides by a non-zero number
  • Moving terms from one side to the other by changing their sign (correct)
  • Doubling all terms in the equation
  • Taking the square root of both sides

How are linear equations in two variables represented?

<p>ax + by + c = 0 (B)</p> Signup and view all the answers

Which operation is NOT allowed when solving linear equations?

<p>Dividing both sides by zero (A)</p> Signup and view all the answers

'Formation of a linear equation in one variable' involves:

<p>Representing the unknown with an alphabet and translating the given statement into an equation (A)</p> Signup and view all the answers

What is the graphical method for solving a system of linear equations?

<p>Drawing the graph of both equations on the same graph paper (C)</p> Signup and view all the answers

If the graph of two linear equations intersect at a point, what does it signify?

<p>Unique solution (D)</p> Signup and view all the answers

Which method involves finding the value of one variable in terms of the other and substituting it into the second equation?

<p>Substitution method (A)</p> Signup and view all the answers

What kind of solution do parallel lines on a graph represent for a system of linear equations?

<p>No solution (D)</p> Signup and view all the answers

In a system of linear equations, what does it mean if the lines coincide on a graph?

<p>Infinite solutions (D)</p> Signup and view all the answers

What is the purpose of multiplying both equations by suitable non-zero constants in the elimination method?

<p>To make coefficients equal (A)</p> Signup and view all the answers

What is the degree of a linear equation?

<p>1 (C)</p> Signup and view all the answers

Which number is a solution of the equation x + 3 = 9?

<p>9 (C)</p> Signup and view all the answers

Which ordered pair lies on the line represented by 4x - 3y + 1 = 0?

<p>(2, 1) (A)</p> Signup and view all the answers

If the point (K, 4) is on the line 3x + y = 10, what is the value of K?

<p>2 (C)</p> Signup and view all the answers

When does a system of linear equations have a unique solution graphically?

<p>Intersecting lines (C)</p> Signup and view all the answers

Solve the system of equations x - 2y = 7 and 3x + y = 35 graphically.

<p>x = 9, y = -1 (B)</p> Signup and view all the answers

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