Linear Equations: Solving and Understanding Basics

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18 Questions

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

ax + b = 0, a ≠ 0

What does LHS stand for in an equation?

Left Hand Side

What is transposition in the context of solving linear equations?

Moving terms from one side to the other by changing their sign

How are linear equations in two variables represented?

ax + by + c = 0

Which operation is NOT allowed when solving linear equations?

Dividing both sides by zero

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

Representing the unknown with an alphabet and translating the given statement into an equation

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

Drawing the graph of both equations on the same graph paper

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

Unique solution

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

Substitution method

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

No solution

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

Infinite solutions

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

To make coefficients equal

What is the degree of a linear equation?

1

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

9

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

(2, 1)

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

2

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

Intersecting lines

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

x = 9, y = -1

Learn the basics of linear equations, including the general form, LHS, RHS, and how to find solutions. Explore the rules for solving linear equations in one variable.

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