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Linear Equations: Solving and Understanding Basics

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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?

ax + by + c = 0 Signup and view all the answers

Which operation is NOT allowed when solving linear equations?

Dividing both sides by zero Signup and view all the answers

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

Representing the unknown with an alphabet and translating the given statement into an equation Signup and view all the answers

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

Drawing the graph of both equations on the same graph paper Signup and view all the answers

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

Unique solution 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?

Substitution method Signup and view all the answers

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

No solution Signup and view all the answers

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

Infinite solutions Signup and view all the answers

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

To make coefficients equal Signup and view all the answers

What is the degree of a linear equation?

1 Signup and view all the answers

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

9 Signup and view all the answers

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

(2, 1) Signup and view all the answers

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

2 Signup and view all the answers

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

Intersecting lines Signup and view all the answers

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

x = 9, y = -1 Signup and view all the answers