Question 1

Question

Examine the six different equations that follow. Determine which pairs of equations have one solution, no solution, and infinite solutions.
• Put a circle around the two equations that have infinite solutions. OR write infinite next to it
• Put a square around the two equations that have no solution. OR write no solution next to it
• Underline the two equations that have one solution. OR write ONE solution next to it
YOU MUST SHOW YOUR MATH for full credit….what do you end up with when you solve the equations after setting them equal to one another. Letters on one side, numbers on the other.

2x+3=2x+7
7x+3=7x+3
4x+22=8x+10
5x+5=5x+4
3x+18=5x+8
3(4x+8)=4(3x+6)

Answer 1

2x + 3 = 2x + 7
3 = 7 no solution

7x + 3 = 7x + 3
3 = 3 infinite solutions

4x + 22 = 8x + 10
-6x = -12
x = 2 one solution

5x + 5 = 5x + 4
1 = 4 no solution

3x + 18 = 5x + 8
10 = 2x
x = 5 one solution

3(4x + 8) = 4(3x + 6)
12x + 24 = 12x + 24
24 = 24 infinite solution