Problem 1 :
5x + 16y = 36
cx + dy = 9
The system of equations above, where c and d are constants, has infinity many solutions. What is the value of cd ?
Problem 2 :
0.3x - 0.7y = 1
kx - 2.8y = 3
In the system of equations above, k is a constant. If the system has no solution, what is the value of k ?
Problem 3 :
x + ay = 5
2x + 6y = b
In the system of equations above, a and b are constants. If the system has one solution, which of the following could be the values of a and b ?
a) a = 3, b = 10 b) a = 3, b = 12
c) a = 3, b = -4 d) a = 10, b = 3
Problem 4 :
y = ax + b
y = -bx
The equation of two lines in the xy-plane are shown above, where a and b are constants. If the two lines intersect at (2, 8), what is the value of a ?
(a) 2 (b) 4 (c) 6 (d) 8
Problem 5 :
2x - 5y = a
bx + 10y = -8
If the system of equations above, a and b are constants. If the system has infinitely many solutions. What is the value of a ?
(a) -4 (b) 1/4 (c) 4 (d) 16
Problem 6 :
(1/3) x - (1/6)y = 4
6x - ay = 8
In the system of equations above, a is constant. If the system has no solution, what is the value of a ?
(a) 1/3 (b) 1 (c) 3 (d) 6
Problem 7 :
mx - 6y = 10
2x - ny = 5
In he system of equations above, m and n are constants. If the system has infinitely many solutions, what is the value of m/n ?
1) cd = 5
2) k = 1.2
3) d
4) a = 6
5) a = 4
6) a = 3
7) m/n = 4/3
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 :
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 6 :
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 7 :
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)
1) c = -3/2
2) b = 5/2
3) a ⋅ b = 1
4) k = 4/5
5) a = 20/7
6) a = 2/3
7) y = 11/(k - 12)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM