Problem 1 :
For what value of c will the system of equations below have no solution ?
cx - 2y = 6
3x + 4y = 4
Problem 2 :
For what value of b will the system of equations below have infinitely many solution ?
-2x + y = 4
5x - by = -10
Problem 3 :
ax - y = 0
x - by = 1
In the system of equations above, a and b are constants and x and y are variables. If the system of equations above has no solution. What is the value of a ⋅ b ?
Problem 4 :
2x - ky = 14
5x - 2y = 5
In the system of equations above, k is constant and x and y are variables. For what values of k will the system of equations have no solution ?. Solution
Problem 5 :
x - 3y = 4
2(x - 1) - 6(y + 2) = -6
How many solutions (x, y) are there to the system of equations above ?
(a) Zero (b) One (c) Two (d) More than two
Problem 6 :
ax + 4y = 14
5x + 7y = 8
In the system of equations above, a is a constant and x and y are variables. If the system has no solution, what is the value of a ?
(a) 20/7 (b) -35/4 (c) 35/4 (d) - 20/7
Problem 7 :
ax + (1/2)y = 16
4x + 3y = 8
In the system of equations above, a is constant. If the system has no solution, what is the value of a ?
(a) 2/3 (b) 8 (c) 8 (d) 24
Problem 8 :
3x + ky = 8
x + 4y = -1
If (x, y) is a solution to the system of equations above and k is constant, what is y in terms of k ?
(a) 5/(k - 12) (b) 5/(k - 12) (c) 11/(k - 12) (d) 9/(k-4)
Problem 9 :
x/(y + 2) = 2
3(y - 5) - x = -16
If (x, y) is the solution to the system of equations above, what is the value of x ? Solution
Problem 10 :
-2x - y = -9
5x - 2y = 18
Which of the following ordered pairs (x, y) fulfills the system of equations above ?
(a) (-4, 1) (b) (3, 3) (c) (2, 5) (d) (4, 1)
Problem 11 :
-3x + 2y = 5
-9x + 6y = 18
The system of equations above has how many solutions (x, y)
(a) Zero (b) Two (c) One (d) More than two
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM