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Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

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

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

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

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.

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.