# Linear Equations , Algebra

If 2x + 3y = 5 and x = - 2, then the value of y is:

** Option :**

**A.**1/3

**B.**1

**C.**3

**D.**9

Option

**C**The solution of the system of simultaneous linear equations

4x - 3y = 7 and 7x + 5y = 2 is :

** Option :**

**A.**x = 1, y = 1

**B.**x = -1, y = 1

**C.**x = -1, y = -1

**D.**x = 1, y = -1

Option

**D**If 2x + 3y = 12 and 3x - 2y = 5, then x and y must have the values :

** Option :**

**A.**2 and 3

**B.**2 and -3

**C.**3 and -2

**D.**3 and 2

Option

**D**The set of homogeneous simultaneous equations

4x + 2y = 0 and

6x + 3y = 0 has :

** Option :**

**A.**x = 0, y = 0 as solutions

**B.**x = 0, y = 0 and x = 1, y = -2 as solutions

**C.**x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions

**D.**an infinite number of solutions.

Option

**D**The equations 3x - 4y = 5 and 12x - 16y = 20 have :

** Option :**

**A.**no common solution.

**B.**exactly one common solution.

**C.**exactly two common solutions.

**D.**more than two common solutions.

Option

**D**