Pair of linear equations easy

Pair of Linear Equations Quiz (Easy)

1. Solve the following pair of linear equations:

2x + 3y = 10

x - y = 4

a) x = 3, y = 2 b) x = 2, y = 3 c) x = 5, y = -1

2. Which of the following statements is true for a pair of linear equations with no solution?

a) They have exactly one solution b) They have infinitely many solutions c) They have no solution

3. Solve the following pair of linear equations:

3x - y = 7

x + 2y = 4

a) x = 3, y = -2 b) x = -1, y = 2 c) x = 2, y = -3

4. The graphical representation of a pair of linear equations is two lines that are:

a) Parallel b) Perpendicular c) Intersecting

5. Solve the following pair of linear equations:

2x - 3y = 8

4x + y = 10

a) x = 2, y = -2 b) x = 3, y = -2 c) x = 2, y = -3

6. Which of the following methods can be used to solve a pair of linear equations?

a) Graphical method b) Substitution method c) All of the above

7. Solve the following pair of linear equations:

3x + 2y = 8

2x - 4y = 6

a) x = 2, y = 1 b) x = 1, y = 2 c) x = 3, y = -1

8. What is the condition for a pair of linear equations to have infinitely many solutions?

a) They have the same slope b) They have different slopes c) They have the same y-intercept

9. Solve the following pair of linear equations:

2x + y = 5

4x + 2y = 10

a) x = 1, y = 3 b) x = 2, y = 1 c) x = 3, y = -1

10. In a pair of linear equations, if the lines are coincident, how many solutions does it have?

a) One unique solution b) Infinitely many solutions c) No solution