Solving multi-step problems using linear equations in one variable

-6y - 3 = 3 - 6y

Solve:

2x + 5 = 2x - 2

• No Solution

• x = 1

• Infinitely Many Solutions

• x = -1

• No solution

• Exactly one solution

• Infinitely many solutions

3x - 1 = 5 + 3x

• No solution

• One solution

• Infinite solutions

What is the definition of one solution?

• The coefficient will always be different. There will only be ONE correct answer.

• The coefficient (slope) and constant will always be the same.

• The coefficient (slope) will be the same and the constant will be different.

Solve and Answer 

 $−8(−5x−6)=21x+12$  

• The equation has no solution

  
  

• The equation has one solution 
  

• The equation had many solutions.

Solve for x, 10 – 2(3x + 4) = 21 – 6x

How many solutions does the equation have?

3(x + 2) = 3x + 5

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

Number of solutions

Solve:

2x + 1 = 2x - 1

• No Solution

• one solution

• Infinitely Many Solutions

5y + 15 = 5y + 3

• NO SOLUTION

• x = 15

• MANY SOLUTIONS

• x = 3