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