Finding Solutions of a System of Equations

 $2x\ –\ y<4$  
What is the x-intercept? 
( (a)   , 0)

2x – y < 4

What is the y-intercept?

(0, (a)   )

In which graph does the shaded region represent the solution set for the inequality shown below?

2x – y < 4

• 
• 
• 
• 

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Solve by Substitution.

5x + 3y = 7

y = 4

• (4,1)

• (4,-1)

• (1,4)

• (-1,4)