What happens if we solve an equation and the answer doesn’t

look right?

X + 4 = X + 3-X =-X

4 = 3

In this lesson you will learn that a linear equation has no solutions by transforming it

into a simpler form.

Let’s ReviewLet’s Review

X + 2 = 5

Let’s ReviewLet’s Review

X + 2 = 5-2 -2

X = 3

Let’s ReviewLet’s Review

X = 3

Let’s ReviewLet’s Review

X + 2 = 5

Let’s ReviewLet’s Review

X+ 2 = 5 X+ 2 = 5

5 = 5

3 + 2 = 5 4 + 2 = 56 = 5

Let’s ReviewLet’s Review

X + 2 = 5

Let’s ReviewA Common Mistake

Thinking that your math is wrong if both sides of the equation are not

equal

Let’s ReviewCore Lesson

What is the solution of x+1=x?

X + 1 = X-X = -X

1 = 0No Solution

Let’s ReviewCore Lesson

How many solutions does this equation have?

2x + 7 + 5x = 7(x+8)7x + 7 = 7x + 56

-7x = -7x 7 = 56 No Solution

Let’s ReviewCore Lesson

X + 1 = X 7x + 7 = 7x + 56

Let’s ReviewCore Lesson

x + 1 = x

Let’s ReviewCore Lesson

1 = 0

In this lesson you learned that a linear equation has no

solutions by transforming it into a simpler form.

Let’s ReviewGuided Practice

How many solutions does 2x–2 = 2x have?

Let’s ReviewGuided Practice

Is 5 a solution for y-1=y?

Let’s ReviewExtension Activities

When we solve the equation x+5=x+2, what is our solution? What does this mean?

Let’s ReviewExtension Activities

How many solutions does the equation x+3x+4 = 4x have? Why?

Let’s ReviewExtension Activities

What can you tell about the structure of an equation that has no solution?

Let’s ReviewQuick Quiz

What is the solution for the equation 9x-x = 3(3x-2)?a) -10 b) 0 c) -2 d) no solutionWhat is the solution for the equation x-1 = x+2?a) -3 b) 0 c) 3 d) no solution