Solving Systems of Inequalities and Equations

Is (1,5) a solution to the system below? Explain why.

• No, it is not a solution. (1,5) makes both equations true.

• No, it is not a solution. (1,5) makes neither equation true.

• Yes, it is a solution. (1,5) makes one of the equations true.

• Yes, it is a solution. (1,5) makes both equations true.

Which of the following is a solution to the system of inequalities?

• (1,-4)

• (-3,1)

• (5,0)

Solve the system of equations by substitution.

x - 7y = -21

2x -14y = -42

• infinite

• no solution

• one solution

Solve the system of equations by elimination.

• (3,-7)

• (-7,3)

• (-5,5)

• (5,-5)

The sum of two numbers is 30 and their difference is 12. Define the variables.

• x = 1st number

  y = 2nd number

• x = 30

  y = 12

• x = 1st number

  x = 1st number

The sum of two numbers is 30 and their difference is 12. Write the system of equations.

• x + y = 30

  x - y = 12

• x + y = 12

  x - y = 30

Solve the system of equations by substitution.

y = 7x + 6

4x - 3y = 16

• (-2,-8)

• (-8,-2)

• (-2,20)

The sum of two numbers is 30 and their difference is 12. Find the two numbers.

• 51 and 9

• 21 and 9

• 9 and 9

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each.

• The cost of one orange is $0.26, and the cost of one apple is $0.32.

• The cost of one orange is $0.32, and the cost of one apple is $0.26.