Linear Equations - Mathematics Multiple Choice questions

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

A. 2 and 3

B. 2 and -3

C. 3 and -2

D. 3 and 2

E. None of the above

View Answer View Explanation

D. 3 AND 2

Posted in: Linear Equations - Algebra - Mathematics

The equations 2x + y = 5 and x + 2y = 4 are

A. consistent and have a unique solution.

B. consistent and have infinitely many solutions.

C. inconsistent.

D. None of these

E. None of the above

View Answer View Explanation

A. CONSISTENT AND HAVE A UNIQUE SOLUTION.

Posted in: Linear Equations - Analogy - Verbal Reasoning

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :

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.

E. None of the above

View Answer View Explanation

D. AN INFINITE NUMBER OF SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

The values of x and y that simultaneously satisfy the equations 2x + 3y = 5 and 7x - 4y = 3 are :

A. 0, 1

B. 1, 0

C. -1, 1

D. 1, 1

E. None of the above

View Answer View Explanation

D. 1, 1

Posted in: Linear Equations - Analogy - Verbal Reasoning

What is the graphical representation of the equation y = 3x - 5?

A. A horizontal line

B. A vertical line

C. A line with a slope of 3 and y-intercept of -5

D. A line with a slope of -3 and y-intercept of 5

E. None of the above

View Answer View Explanation

C. A LINE WITH A SLOPE OF 3 AND Y-INTERCEPT OF -5

Posted in: Linear Equations - Algebra - Mathematics

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

The equations 2x + y = 5 and x + 2y = 4 are

The set of homogeneous simultaneous equations4x + 2y = 0 and6x + 3y = 0 has :

The values of x and y that simultaneously satisfy the equations 2x + 3y = 5 and 7x - 4y = 3 are :

What is the graphical representation of the equation y = 3x - 5?

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :