Solving pairs of linear equations in two variables

Give the number of solutions: y=4x+3, 6x-2y=-8

• infanite

• one

• none

How many solutions does this system have?

y = -6x - 14

y = 6x + 10

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions?

3x + 2y = 16

7x + y = 19

• no solution

• infinitely solutions

• one solution

Systems of equations that have the SAME SLOPE and SAME Y-INTERCEPT will have ________________.

• one solution

• no solution

• infinite solutions

• two solutions

How many solutions does this system of equations have?

• One Solution

• No Solution

• Two Solutions

• Infinitely Many Solutions

y = 2x + 4 and y = 2x + 6

• 1 solution

• infinitely many solutions

• no solution

How many solutions does the system have?

• Exactly One Solution

• No Solutions

• Infinitely Many Solutions

Determine if the system has one solution, infinitely many solutions, or no solution.

• One Solution
• Infinitely Many Solutions
• No Solution

Determine the number of solutions for the system of equations: y = -2x + 5 and y = -2x + 5.

• No solution

• infinitely many

• One solution

• Two solutions

(You need scratch paper) By looking at the structure of the equation, this system has [hint: change into y=mx+b]

• One solution

• No solution

• Infinitely many solutions