1

Solve the following system of equations:
\$ 2x - y = 3 \$
\$ 4x - 2y = 6 \$

A) x = 2, y = 1

B) x = 3, y = 0

C) x = 1, y = 1

D) Infinitely many solutions

2

Find the values of a and b for which the following system has infinitely many solutions:
\$ 3x + ay = 7 \$
\$ 6x + by = 14 \$

A) a = 2, b = 3

B) a = 1, b = 2

C) a = 5, b = 6

D) a = 3, b = 5

3

Show that the following system of equations has an infinite solution:
3x = 5 + vy and 6x - 10 = sy

A) v = 2s

B) s = 92, v = 56

C) 2v = s

D) s = 32, v = 12

4

Solve the following system of equations:
- 5x + 6y = 9 and 18y = 15x + 36

A) No solution

B) Unique solution

C) Inconsistent system

D) Infinite solutions

5

Solve the following system of equations:
3x + 4y = 7
6x - 2y = 10

A) \$x = 1/5\$ and y = 1

B) \$x = 9/5\$ and \$y = 2/5\$

C) \$x = 2/5\$ and \$y = 8/5\$

D) \$x = 1/(25)\$ and \$y = -8/5\$

6

Find the values of e and d for which the following system has infinitely many solutions:
2x - ey = 5
4x - dy = 10

A) d = 2e

B) d = 3e

C) d = e + 2

D) d = e - 1

7

Solve the following system of equations:
3x - 2y = 4
2x + y = 5

A) x = 2 and y = 0

B) x = 2 and y = 2

C) x = 0 and y = 16

D) x = 2 and y = 1

8

Solve the following system of equations:
7y = - 28x - 56 and 4x + y - 8 = 0

A) Inconsistent system

B) Unique solution

C) No solution

D) Infinite solutions

9

Show that the following system of equations has an infinite solution:
- qx - 3y = -5 and rx + 33y = 55

A) \$ q = - (3) \$, r = 33

B) r = 11q

C) \$ q = -(11/3) \$, r = 3

D) q = 1, r = 1

10

In the system of equations above, d and g are constants. If the system has infinitely many solutions, what is the value of \$d/g\$:
10x + 14y = 4 and gy = - dx + 2

A) \$ -5/2 \$

B) \$ - 5/7 \$

C) \$ -7/5 \$

D) \$ 5/7 \$