Solving Systems of Equations

If p + q = 36, and p - q = 20, then q =?

• -8

• 8

• 16

• 28

• 56

Which of the following (a,b) pairs is the solution for the system of equations 2a + b = 3 and a - 3b = 5?

 $$  

• (-2,7)

• (0,3)

•  $\left(\frac{3}{4},\ \frac{6}{4}\right)$  
  

• (2,-1)

• (3,-3)

What is the value of y in the solution to the following system of equations?

x - 4y - 8 = 20

2x + y = 20

• -4

• -1.8

• 8

• 10

• 14

If a + b = 28 and a - b = 10, then b =?

• -18

• 9

• 18

• 19

• 38

What is the solution to the following system of equations?

3x + 7y = 34

x + 7y = 30

• (-1, 1)

• (1,-1)

• (2,4)

• (4,2)

• (32,6)

Let 3a + 4b = 18 and 5a + 3b = 19. What is the value of 7a + 2b?

• -16

• -4

• 8

• 20

• 24

If a = 3b + 4 and b = 7, what is the value of a?

• 11

• 14

• 17

• 25

• 84

If y = 5x - 2 and x = 4b + 3, then y is equivalent to which of the following?

• b +1

• 20b + 1

• 20b + 13

• 20bx + 1

• 5x + 4b + 1

For what value of b is y = 4 a solution to the equation y + 2 = by + 8?

• -2

• -0.5

• 1

• 0.5

• 2

What is the value of y in the solution to the system of equations below?

5x - 5y = 25

x + 4y = -10

• -22

• -3

• -1

• 3

• 5