Quiz on Linear Equations in Two Variables

What is the general form of a linear equation in two variables?

• ax + by + c = 0
• ax + by = c
• x + y = c
• a + b = c

Which of the following represents a unique solution for a linear equation in one variable?

• x + 1 = 0
• 2x + 3y = 12
• x + y = 5
• 3x - 2b= 0

If x + y = 176 represents the total runs scored by two batsmen, what does 'x' represent?

• Runs scored by the first batsman
• Runs scored by the second batsman
• Total runs
• None of the above

Which of the following is NOT a linear equation in two variables?

• 2x + 3y = 9
• x^2 + y = 4
• 3x - 2y + 5 = 0
• 4x + 5y = 20

What can be concluded about the solutions of a linear equation in two variables?

• There is only one solution
• There are no solutions
• There are infinitely many solutions
• There are exactly two solutions

In the equation 2x + 3y = 12, if x = 3, what is the value of y?

• 0
• 2
• 4
• 6

Which of the following equations can be expressed in the form ax + by + c = 0?

• x - 4 = 3y
• y = 2
• x + y = 5
• All of the above

If a linear equation is represented graphically, what does each point on the graph represent?

• A solution to the equation
• An unsolvable equation
• A variable
• None of the above

What is the value of 'c' in the equation 2x + 3y - 4 = 0?

• 2
• 3
• 4
• -4

Which of the following statements is true regarding the equation 3y + 4 = 0?

• It has no solutions
• It has one solution
• It has infinitely many solutions
• It is not a linear equation