(06/01) Guided Practice

 $\frac{1}{2}\left(x+4\right)=\frac{1}{2}\left(x-8\right)$  

• one solution

• no solution

• infinite solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

Solve:

9x + 7 − 5x = 4x − 7

• x = 7

• x = -7

• infinitely many solutions

• no solutions

Solve:

3x + 1 + 2x = 4x − 2 − 7x + 7

• x = 2

• x = ½

• infinitely many solutions

• no solutions

Solve:

3x - 7 + 4x = 7x +2 - 9

• x =1

• x = -1

• infinitely many solutions

• no solutions

Sam solved an equation. The last line of his work showed this result:

-17 = 4

Which statements below are true? Select ALL correct answers.

• The solution is -17.

• The solution is 4.

• There is no solution.

• The line graph will show two parallel lines.

• The line graph will show two lines that cross at one point.

How many solutions?

• One solution

• No solutions

• Infinitely many solutions

How many solutions?

• One solution

• No solutions

• Infinitely many solutions

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Same line
• Parallel lines