systems of equations and inequalities

• No solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

• (-1, 1)

• (1, -1)

• (2, -1)

• (1, 1)

What is the solution to the system of equations?

(a)  

Solve the following systems by substitution. Show work.

3x + y = 21

y = 2x + 1

(a)  

Solve the system of equations using substitution or elimination. show work.
-2x+6y= 16
-4x-3y= 2

(a)  

Solve by using the Substitution Method.

y = 2x + 1

3x + y = 16

• x = 3

• (2, 7)

• (3, 5)

• (3, 7)

Solve by elimination 
-12x-10y= 0 
 6x+5y= -1

• infinite solutions
• (0,0)
• no solution 
• (2,1)

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

Solve by elimination:
7x-9y=29

7x+2y=-15

• (-4,-1)
• (-1.-4)
• (-1,4)
• (-1,6)

Solve the following systems by substituion

10x - y = 23

y = x + 4

• (3, 7)

• (7, 3)

• (-3, 7)

• (-7, -3)