Pair of linear equations medium

Pair of Linear Equations Quiz (Medium)

1. Solve the following pair of linear equations:

2x + 3y = 10

3x - y = 5

a) x = 2, y = 2 b) x = 3, y = 1 c) x = 4, y = 2

2. The pair of equations 3x + 2y = 6 and 6x + 4y = 12 are:

a) Consistent and dependent b) Consistent and independent c) Inconsistent

3. Solve the following pair of linear equations:

4x - 3y = 10

2x + y = 1

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

4. Which of the following statements is true for a pair of linear equations with infinitely many solutions?

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

5. Solve the following pair of linear equations:

3x - 5y = 9

6x - 10y = 18

a) x = 3, y = 0 b) x = 2, y = 1 c) x = 1, y = -2

6. What is the graphical representation of a pair of linear equations with no solution?

a) Parallel lines b) Perpendicular lines c) Intersecting lines

7. Solve the following pair of linear equations:

2x - 3y = 7

x + 2y = 4

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

8. What is the condition for a pair of linear equations to have a unique solution?

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:

5x + 4y = 18

3x + 2y = 10

a) x = 2, y = 3 b) x = 1, y = 2 c) x = 3, y = 4

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

a) Coincident b) Parallel c) Intersecting