Systems of Equations and Inequalities REVIEW

What is the solution to the following system of equations?

• (0,3)

• (-3, 1)

• (1, 3)

• Infinitely Many Solutions

• No Solution

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• (0, 3)

• (-3,3)

• (3,3)

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Solve the following system of equations:
2x+3y=17
y=4x+1

• (-1,-3)
• (1,5)
• (1,3)
• (2,4)

Solve the system of equations:

-6x+6y=6

6x-3y=12

• (6,5)

• (5,6)

• (4,4)

• (2,4)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

The sum of 2 numbers is 33.  The smaller number is 8 less than 7 times lager number.
Let x= the smaller number and y=the larger number. 
Pick which system of equations follows this problem.

• x=8-7y
  x+y=33
• x=7y-8
  x+y=33
• 7x+8y=33
  x+y=n
• 2+x=33
  x=8y-7